45682211520 has 336 divisors, whose sum is σ = 177764041728. Its totient is φ = 11074268160.

The previous prime is 45682211513. The next prime is 45682211543. The reversal of 45682211520 is 2511228654.

45682211520 is a `hidden beast` number, since 4 + 56 + 82 + 2 + 1 + 1 + 520 = 666.

45682211520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 828657 + ... + 882063.

It is an arithmetic number, because the mean of its divisors is an integer number (529059648).

Almost surely, 2^45682211520 is an apocalyptic number.

45682211520 is a gapful number since it is divisible by the number (40) 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 45682211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88882020864).

45682211520 is an abundant number, since it is smaller than the sum of its proper divisors (132081830208).

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

45682211520 is a wasteful number, since it uses less digits than its factorization.

45682211520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53450 (or 53428 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 45682211520 in words is "forty-five billion, six hundred eighty-two million, two hundred eleven thousand, five hundred twenty".