46346000960 has 448 divisors, whose sum is σ = 136238284800. Its totient is φ = 14676000768.

The previous prime is 46346000951. The next prime is 46346000989. The reversal of 46346000960 is 6900064364.

It is a happy number.

46346000960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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, 240134624 + ... + 240134816.

Almost surely, 2^46346000960 is an apocalyptic number.

46346000960 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 46346000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68119142400).

46346000960 is an abundant number, since it is smaller than the sum of its proper divisors (89892283840).

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

46346000960 is a wasteful number, since it uses less digits than its factorization.

46346000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The spelling of 46346000960 in words is "forty-six billion, three hundred forty-six million, nine hundred sixty", and thus it is an aban number.