45532073664 has 336 divisors, whose sum is σ = 163460094720. Its totient is φ = 11772241920.

The previous prime is 45532073647. The next prime is 45532073681. The reversal of 45532073664 is 46637023554.

45532073664 is a `hidden beast` number, since 4 + 553 + 2 + 0 + 7 + 36 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (45532073647) and next prime (45532073681).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10154367 + ... + 10158849.

Almost surely, 2^45532073664 is an apocalyptic number.

45532073664 is a gapful number since it is divisible by the number (44) 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 45532073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81730047360).

45532073664 is an abundant number, since it is smaller than the sum of its proper divisors (117928021056).

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

45532073664 is a wasteful number, since it uses less digits than its factorization.

45532073664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 4735 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 45532073664 in words is "forty-five billion, five hundred thirty-two million, seventy-three thousand, six hundred sixty-four".