45994620672 has 1296 divisors, whose sum is σ = 188012843200. Its totient is φ = 10729635840.

The previous prime is 45994620641. The next prime is 45994620701. The reversal of 45994620672 is 27602649954.

45994620672 is a `hidden beast` number, since 4 + 5 + 9 + 9 + 4 + 620 + 6 + 7 + 2 = 666.

45994620672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45994620672² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1243097838 + ... + 1243097874.

Almost surely, 2^45994620672 is an apocalyptic number.

45994620672 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 45994620672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94006421600).

45994620672 is an abundant number, since it is smaller than the sum of its proper divisors (142018222528).

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

45994620672 is a wasteful number, since it uses less digits than its factorization.

45994620672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

It can be divided in two parts, 45994 and 620672, that added together give a palindrome (666666).

The spelling of 45994620672 in words is "forty-five billion, nine hundred ninety-four million, six hundred twenty thousand, six hundred seventy-two".