45772661484 has 144 divisors (see below), whose sum is σ = 128330407296. Its totient is φ = 13639507200.

The previous prime is 45772661443. The next prime is 45772661527. The reversal of 45772661484 is 48416627754.

45772661484 is a `hidden beast` number, since 4 + 577 + 2 + 6 + 61 + 4 + 8 + 4 = 666.

It is a super-3 number, since 3×45772661484³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45772661484.

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, 20189719 + ... + 20191985.

It is an arithmetic number, because the mean of its divisors is an integer number (891183384).

Almost surely, 2^45772661484 is an apocalyptic number.

45772661484 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 45772661484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64165203648).

45772661484 is an abundant number, since it is smaller than the sum of its proper divisors (82557745812).

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

45772661484 is a wasteful number, since it uses less digits than its factorization.

45772661484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3111 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The spelling of 45772661484 in words is "forty-five billion, seven hundred seventy-two million, six hundred sixty-one thousand, four hundred eighty-four".