45472387416336 has 480 divisors, whose sum is σ = 140732340053760. Its totient is φ = 13642056400896.

The previous prime is 45472387416301. The next prime is 45472387416367. The reversal of 45472387416336 is 63361478327454.

45472387416336 is a `hidden beast` number, since 4 + 5 + 472 + 3 + 8 + 74 + 1 + 63 + 36 = 666.

45472387416336 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3355146136 + ... + 3355159688.

It is an arithmetic number, because the mean of its divisors is an integer number (293192375112).

Almost surely, 2^{45472387416336} 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 45472387416336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70366170026880).

45472387416336 is an abundant number, since it is smaller than the sum of its proper divisors (95259952637424).

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

45472387416336 is a wasteful number, since it uses less digits than its factorization.

45472387416336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14063 (or 14054 counting only the distinct ones).

The product of its digits is 243855360, while the sum is 63.

The spelling of 45472387416336 in words is "forty-five trillion, four hundred seventy-two billion, three hundred eighty-seven million, four hundred sixteen thousand, three hundred thirty-six".