48098746080 has 960 divisors, whose sum is σ = 213676227072. Its totient is φ = 9898536960.

The previous prime is 48098746049. The next prime is 48098746081. The reversal of 48098746080 is 8064789084.

48098746080 is a `hidden beast` number, since 480 + 9 + 87 + 4 + 6 + 0 + 80 = 666.

48098746080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×48098746080³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48098746081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 156673287 + ... + 156673593.

Almost surely, 2^48098746080 is an apocalyptic number.

48098746080 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 48098746080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106838113536).

48098746080 is an abundant number, since it is smaller than the sum of its proper divisors (165577480992).

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

48098746080 is a wasteful number, since it uses less digits than its factorization.

48098746080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 48098746080 in words is "forty-eight billion, ninety-eight million, seven hundred forty-six thousand, eighty".