46406635095744 has 672 divisors, whose sum is σ = 170142805946880. Its totient is φ = 11744435404800.

The previous prime is 46406635095721. The next prime is 46406635095763. The reversal of 46406635095744 is 44759053660464.

46406635095744 is a `hidden beast` number, since 4 + 6 + 4 + 0 + 6 + 6 + 3 + 50 + 9 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 95 ways as a sum of consecutive naturals, for example, 295616314 + ... + 295773254.

Almost surely, 2^{46406635095744} is an apocalyptic number.

46406635095744 is a gapful number since it is divisible by the number (44) 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 46406635095744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85071402973440).

46406635095744 is an abundant number, since it is smaller than the sum of its proper divisors (123736170851136).

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

46406635095744 is a wasteful number, since it uses less digits than its factorization.

46406635095744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157149 (or 157136 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 46406635095744 in words is "forty-six trillion, four hundred six billion, six hundred thirty-five million, ninety-five thousand, seven hundred forty-four".