48215574000 has 960 divisors, whose sum is σ = 197717345280. Its totient is φ = 11249280000.

The previous prime is 48215573957. The next prime is 48215574091. The reversal of 48215574000 is 47551284.

48215574000 is a `hidden beast` number, since 4 + 82 + 1 + 5 + 574 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×48215574000² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155033845 + ... + 155034155.

It is an arithmetic number, because the mean of its divisors is an integer number (205955568).

Almost surely, 2^48215574000 is an apocalyptic number.

48215574000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48215574000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98858672640).

48215574000 is an abundant number, since it is smaller than the sum of its proper divisors (149501771280).

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

48215574000 is a wasteful number, since it uses less digits than its factorization.

48215574000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 48215574000 in words is "forty-eight billion, two hundred fifteen million, five hundred seventy-four thousand".