48898274918400 has 576 divisors, whose sum is σ = 181650028341600. Its totient is φ = 13039486894080.

The previous prime is 48898274918387. The next prime is 48898274918411. The reversal of 48898274918400 is 481947289884.

48898274918400 is a `hidden beast` number, since 4 + 8 + 8 + 98 + 2 + 7 + 491 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 198942781 + ... + 199188419.

Almost surely, 2^{48898274918400} is an apocalyptic number.

48898274918400 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 48898274918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90825014170800).

48898274918400 is an abundant number, since it is smaller than the sum of its proper divisors (132751753423200).

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

48898274918400 is an frugal number, since it uses more digits than its factorization.

48898274918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245694 (or 245649 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 48898274918400 in words is "forty-eight trillion, eight hundred ninety-eight billion, two hundred seventy-four million, nine hundred eighteen thousand, four hundred".