46152078336 has 528 divisors, whose sum is σ = 165807393024. Its totient is φ = 12039487488.

The previous prime is 46152078331. The next prime is 46152078373. The reversal of 46152078336 is 63387025164.

46152078336 is a `hidden beast` number, since 4 + 615 + 20 + 7 + 8 + 3 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 46152078291 and 46152078300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46152078331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94767885 + ... + 94768371.

Almost surely, 2^46152078336 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 46152078336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82903696512).

46152078336 is an abundant number, since it is smaller than the sum of its proper divisors (119655314688).

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

46152078336 is a wasteful number, since it uses less digits than its factorization.

46152078336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 46152078336 in words is "forty-six billion, one hundred fifty-two million, seventy-eight thousand, three hundred thirty-six".