45162617472 has 384 divisors, whose sum is σ = 159290544000. Its totient is φ = 12339081216.

The previous prime is 45162617377. The next prime is 45162617483. The reversal of 45162617472 is 27471626154.

45162617472 is a `hidden beast` number, since 4 + 5 + 1 + 626 + 17 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12795804 + ... + 12799332.

It is an arithmetic number, because the mean of its divisors is an integer number (414819125).

Almost surely, 2^45162617472 is an apocalyptic number.

45162617472 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 45162617472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79645272000).

45162617472 is an abundant number, since it is smaller than the sum of its proper divisors (114127926528).

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

45162617472 is a wasteful number, since it uses less digits than its factorization.

45162617472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605 (or 3564 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 45162617472 in words is "forty-five billion, one hundred sixty-two million, six hundred seventeen thousand, four hundred seventy-two".