48092490000 has 675 divisors, whose sum is σ = 182913209193. Its totient is φ = 11789568000.

The previous prime is 48092489993. The next prime is 48092490029. The reversal of 48092490000 is 9429084.

It is a happy number.

The square root of 48092490000 is 219300.

It is a perfect power (a square), and thus also a powerful number.

48092490000 is a `hidden beast` number, since 4 + 80 + 92 + 490 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 23486175504 + 24606314496 = 153252^2 + 156864^2 .

It is a super-3 number, since 3×48092490000³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1118429979 + ... + 1118430021.

Almost surely, 2^48092490000 is an apocalyptic number.

48092490000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48092490000 is the 219300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48092490000

48092490000 is an abundant number, since it is smaller than the sum of its proper divisors (134820719193).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48092490000 is a wasteful number, since it uses less digits than its factorization.

48092490000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 48092490000 by its sum of digits (36), we get a square (1731329640000 = 1315800²).

48092490000 divided by its sum of digits (36) gives a square (1335902500 = 36550²).

Multiplying 48092490000 by its product of nonzero digits (20736), we get a square (997245872640000 = 31579200²).

The spelling of 48092490000 in words is "forty-eight billion, ninety-two million, four hundred ninety thousand".