46135078416 has 320 divisors, whose sum is σ = 157145497600. Its totient is φ = 12681100800.

The previous prime is 46135078349. The next prime is 46135078441. The reversal of 46135078416 is 61487053164.

46135078416 is a `hidden beast` number, since 4 + 61 + 3 + 507 + 84 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16966305 + ... + 16969023.

It is an arithmetic number, because the mean of its divisors is an integer number (491079680).

Almost surely, 2^46135078416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46135078416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78572748800).

46135078416 is an abundant number, since it is smaller than the sum of its proper divisors (111010419184).

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

46135078416 is a wasteful number, since it uses less digits than its factorization.

46135078416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 46135078416 in words is "forty-six billion, one hundred thirty-five million, seventy-eight thousand, four hundred sixteen".