45062156160 has 1152 divisors, whose sum is σ = 191555020800. Its totient is φ = 9721700352.

The previous prime is 45062156147. The next prime is 45062156177. The reversal of 45062156160 is 6165126054.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 570407001 + ... + 570407079.

It is an arithmetic number, because the mean of its divisors is an integer number (166280400).

Almost surely, 2^45062156160 is an apocalyptic number.

45062156160 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 45062156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95777510400).

45062156160 is an abundant number, since it is smaller than the sum of its proper divisors (146492864640).

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

45062156160 is a wasteful number, since it uses less digits than its factorization.

45062156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 45062156160 in words is "forty-five billion, sixty-two million, one hundred fifty-six thousand, one hundred sixty".