45031377888 has 288 divisors, whose sum is σ = 149783961600. Its totient is φ = 12827808000.

The previous prime is 45031377871. The next prime is 45031377913. The reversal of 45031377888 is 88877313054.

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

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, 59961513 + ... + 59962263.

It is an arithmetic number, because the mean of its divisors is an integer number (520083200).

Almost surely, 2^45031377888 is an apocalyptic number.

45031377888 is a gapful number since it is divisible by the number (48) 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 45031377888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74891980800).

45031377888 is an abundant number, since it is smaller than the sum of its proper divisors (104752583712).

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

45031377888 is a wasteful number, since it uses less digits than its factorization.

45031377888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 45031377888 in words is "forty-five billion, thirty-one million, three hundred seventy-seven thousand, eight hundred eighty-eight".