45913123872 has 1152 divisors, whose sum is σ = 181149696000. Its totient is φ = 10905753600.

The previous prime is 45913123859. The next prime is 45913123889. The reversal of 45913123872 is 27832131954.

It is a happy number.

45913123872 is a `hidden beast` number, since 4 + 591 + 31 + 23 + 8 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 976874953 + ... + 976874999.

It is an arithmetic number, because the mean of its divisors is an integer number (157248000).

Almost surely, 2^45913123872 is an apocalyptic number.

45913123872 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 45913123872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90574848000).

45913123872 is an abundant number, since it is smaller than the sum of its proper divisors (135236572128).

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

45913123872 is a wasteful number, since it uses less digits than its factorization.

45913123872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 45913123872 in words is "forty-five billion, nine hundred thirteen million, one hundred twenty-three thousand, eight hundred seventy-two".