45988644240 has 1680 divisors, whose sum is σ = 216309072000. Its totient is φ = 9053130240.

The previous prime is 45988644161. The next prime is 45988644269. The reversal of 45988644240 is 4244688954.

It is a happy number.

45988644240 is a `hidden beast` number, since 4 + 598 + 8 + 6 + 4 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-3 number, since 3×45988644240³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2420454951 + ... + 2420454969.

It is an arithmetic number, because the mean of its divisors is an integer number (128755400).

Almost surely, 2^45988644240 is an apocalyptic number.

45988644240 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 45988644240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108154536000).

45988644240 is an abundant number, since it is smaller than the sum of its proper divisors (170320427760).

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

45988644240 is a wasteful number, since it uses less digits than its factorization.

45988644240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 45988644240 in words is "forty-five billion, nine hundred eighty-eight million, six hundred forty-four thousand, two hundred forty".