46011351859200 has 3456 divisors, whose sum is σ = 210672325248840. Its totient is φ = 9512681472000.

The previous prime is 46011351859181. The next prime is 46011351859261. The reversal of 46011351859200 is 295815311064.

It is a happy number.

46011351859200 is a `hidden beast` number, since 4 + 6 + 0 + 1 + 1 + 3 + 51 + 8 + 592 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4635787935744 + 41375563923456 = 2153088^2 + 6432384^2 .

It is a super-2 number, since 2×46011351859200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 455557939150 + ... + 455557939250.

Almost surely, 2^{46011351859200} is an apocalyptic number.

46011351859200 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 46011351859200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105336162624420).

46011351859200 is an abundant number, since it is smaller than the sum of its proper divisors (164660973389640).

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

46011351859200 is a wasteful number, since it uses less digits than its factorization.

46011351859200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 46011351859200 in words is "forty-six trillion, eleven billion, three hundred fifty-one million, eight hundred fifty-nine thousand, two hundred".