46352292480 has 576 divisors, whose sum is σ = 183580483320. Its totient is φ = 10734796800.

The previous prime is 46352292443. The next prime is 46352292523. The reversal of 46352292480 is 8429225364.

46352292480 is a `hidden beast` number, since 4 + 6 + 352 + 292 + 4 + 8 + 0 = 666.

46352292480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 326597184 + 46025695296 = 18072^2 + 214536^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16547080 + ... + 16549880.

Almost surely, 2^46352292480 is an apocalyptic number.

46352292480 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 46352292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91790241660).

46352292480 is an abundant number, since it is smaller than the sum of its proper divisors (137228190840).

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

46352292480 is a wasteful number, since it uses less digits than its factorization.

46352292480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2869 (or 2841 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 46352292480 in words is "forty-six billion, three hundred fifty-two million, two hundred ninety-two thousand, four hundred eighty".