45170436960 has 288 divisors, whose sum is σ = 168798258720. Its totient is φ = 10908672000.

The previous prime is 45170436953. The next prime is 45170436979. The reversal of 45170436960 is 6963407154.

45170436960 is a `hidden beast` number, since 4 + 517 + 0 + 43 + 6 + 96 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 4255660 + ... + 4266260.

It is an arithmetic number, because the mean of its divisors is an integer number (586105065).

Almost surely, 2^45170436960 is an apocalyptic number.

45170436960 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 45170436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84399129360).

45170436960 is an abundant number, since it is smaller than the sum of its proper divisors (123627821760).

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

45170436960 is a wasteful number, since it uses less digits than its factorization.

45170436960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902 (or 10891 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 45170436960 in words is "forty-five billion, one hundred seventy million, four hundred thirty-six thousand, nine hundred sixty".