46090693645200 has 1440 divisors, whose sum is σ = 176646699220992. Its totient is φ = 11522165760000.

The previous prime is 46090693645193. The next prime is 46090693645211. The reversal of 46090693645200 is 254639609064.

46090693645200 is a `hidden beast` number, since 4 + 609 + 0 + 6 + 9 + 3 + 6 + 4 + 5 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16455083800 + ... + 16455086600.

Almost surely, 2^{46090693645200} is an apocalyptic number.

46090693645200 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 46090693645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88323349610496).

46090693645200 is an abundant number, since it is smaller than the sum of its proper divisors (130556005575792).

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

46090693645200 is a wasteful number, since it uses less digits than its factorization.

46090693645200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 46090693645200 in words is "forty-six trillion, ninety billion, six hundred ninety-three million, six hundred forty-five thousand, two hundred".