46809394632000 has 8064 divisors, whose sum is σ = 245293927796736. Its totient is φ = 8360755200000.

The previous prime is 46809394631981. The next prime is 46809394632017. The reversal of 46809394632000 is 23649390864.

46809394632000 is a `hidden beast` number, since 46 + 8 + 0 + 9 + 394 + 6 + 3 + 200 + 0 = 666.

It is a super-2 number, since 2×46809394632000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 641224583964 + ... + 641224584036.

It is an arithmetic number, because the mean of its divisors is an integer number (30418393824).

Almost surely, 2^{46809394632000} is an apocalyptic number.

46809394632000 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 46809394632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122646963898368).

46809394632000 is an abundant number, since it is smaller than the sum of its proper divisors (198484533164736).

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

46809394632000 is a wasteful number, since it uses less digits than its factorization.

46809394632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 46809394632000 in words is "forty-six trillion, eight hundred nine billion, three hundred ninety-four million, six hundred thirty-two thousand".