45155510551872 has 672 divisors, whose sum is σ = 155159215411200. Its totient is φ = 12754049882112.

The previous prime is 45155510551829. The next prime is 45155510551897. The reversal of 45155510551872 is 27815501555154.

45155510551872 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 5 + 5 + 1 + 0 + 551 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5494035379 + ... + 5494043597.

It is an arithmetic number, because the mean of its divisors is an integer number (230891689600).

Almost surely, 2^{45155510551872} is an apocalyptic number.

45155510551872 is a gapful number since it is divisible by the number (42) 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 45155510551872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77579607705600).

45155510551872 is an abundant number, since it is smaller than the sum of its proper divisors (110003704859328).

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

45155510551872 is a wasteful number, since it uses less digits than its factorization.

45155510551872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8825 (or 8803 counting only the distinct ones).

The product of its (nonzero) digits is 7000000, while the sum is 54.

The spelling of 45155510551872 in words is "forty-five trillion, one hundred fifty-five billion, five hundred ten million, five hundred fifty-one thousand, eight hundred seventy-two".