46898100496800 has 864 divisors, whose sum is σ = 196209165559680. Its totient is φ = 10313262489600.

The previous prime is 46898100496799. The next prime is 46898100496811. The reversal of 46898100496800 is 869400189864.

46898100496800 is a `hidden beast` number, since 4 + 68 + 9 + 8 + 1 + 0 + 0 + 496 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 413576110 + ... + 413689490.

It is an arithmetic number, because the mean of its divisors is an integer number (227093941620).

Almost surely, 2^{46898100496800} is an apocalyptic number.

46898100496800 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 46898100496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98104582779840).

46898100496800 is an abundant number, since it is smaller than the sum of its proper divisors (149311065062880).

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

46898100496800 is a wasteful number, since it uses less digits than its factorization.

46898100496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113726 (or 113710 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 46898100496800 in words is "forty-six trillion, eight hundred ninety-eight billion, one hundred million, four hundred ninety-six thousand, eight hundred".