45151292160 has 720 divisors, whose sum is σ = 175966079520. Its totient is φ = 10988421120.

The previous prime is 45151292159. The next prime is 45151292209. The reversal of 45151292160 is 6129215154.

45151292160 is a `hidden beast` number, since 4 + 51 + 512 + 92 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 187349640 + ... + 187349880.

Almost surely, 2^45151292160 is an apocalyptic number.

45151292160 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 45151292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87983039760).

45151292160 is an abundant number, since it is smaller than the sum of its proper divisors (130814787360).

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

45151292160 is a wasteful number, since it uses less digits than its factorization.

45151292160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 45151292160 in words is "forty-five billion, one hundred fifty-one million, two hundred ninety-two thousand, one hundred sixty".