45832801536 has 288 divisors, whose sum is σ = 139262135040. Its totient is φ = 15049359360.

The previous prime is 45832801529. The next prime is 45832801561. The reversal of 45832801536 is 63510823854.

45832801536 is a `hidden beast` number, since 4 + 5 + 8 + 32 + 80 + 1 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 45832801491 and 45832801500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39750336 + ... + 39751488.

It is an arithmetic number, because the mean of its divisors is an integer number (483549080).

Almost surely, 2^45832801536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45832801536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69631067520).

45832801536 is an abundant number, since it is smaller than the sum of its proper divisors (93429333504).

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

45832801536 is an frugal number, since it uses more digits than its factorization.

45832801536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 45832801536 in words is "forty-five billion, eight hundred thirty-two million, eight hundred one thousand, five hundred thirty-six".