45945228672 has 448 divisors, whose sum is σ = 159602439600. Its totient is φ = 13011038208.

The previous prime is 45945228617. The next prime is 45945228691. The reversal of 45945228672 is 27682254954.

45945228672 is a `hidden beast` number, since 4 + 59 + 4 + 522 + 8 + 67 + 2 = 666.

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

It is a super-2 number, since 2×45945228672² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 406594888 + ... + 406595000.

Almost surely, 2^45945228672 is an apocalyptic number.

45945228672 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 45945228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79801219800).

45945228672 is an abundant number, since it is smaller than the sum of its proper divisors (113657210928).

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

45945228672 is an frugal number, since it uses more digits than its factorization.

45945228672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 125 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 45945228672 in words is "forty-five billion, nine hundred forty-five million, two hundred twenty-eight thousand, six hundred seventy-two".