46345113360 has 720 divisors, whose sum is σ = 201156410880. Its totient is φ = 9774535680.

The previous prime is 46345113341. The next prime is 46345113361. The reversal of 46345113360 is 6331154364.

46345113360 is a `hidden beast` number, since 4 + 634 + 5 + 1 + 13 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (46345113361) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17885665 + ... + 17888255.

It is an arithmetic number, because the mean of its divisors is an integer number (279383904).

Almost surely, 2^46345113360 is an apocalyptic number.

46345113360 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 46345113360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100578205440).

46345113360 is an abundant number, since it is smaller than the sum of its proper divisors (154811297520).

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

46345113360 is a wasteful number, since it uses less digits than its factorization.

46345113360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2653 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 46345113360 in words is "forty-six billion, three hundred forty-five million, one hundred thirteen thousand, three hundred sixty".