46378502352 has 1080 divisors, whose sum is σ = 181599537600. Its totient is φ = 10959556608.

The previous prime is 46378502321. The next prime is 46378502363. The reversal of 46378502352 is 25320587364.

46378502352 is a `hidden beast` number, since 4 + 637 + 8 + 5 + 0 + 2 + 3 + 5 + 2 = 666.

46378502352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 46378502298 and 46378502307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 521106724 + ... + 521106812.

It is an arithmetic number, because the mean of its divisors is an integer number (168147720).

Almost surely, 2^46378502352 is an apocalyptic number.

46378502352 is a gapful number since it is divisible by the number (42) 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 46378502352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90799768800).

46378502352 is an abundant number, since it is smaller than the sum of its proper divisors (135221035248).

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

46378502352 is a wasteful number, since it uses less digits than its factorization.

46378502352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 46378502352 in words is "forty-six billion, three hundred seventy-eight million, five hundred two thousand, three hundred fifty-two".