45667889541120 has 2496 divisors, whose sum is σ = 189403431275520. Its totient is φ = 9193327165440.

The previous prime is 45667889541119. The next prime is 45667889541167. The reversal of 45667889541120 is 2114598876654.

It is a super-2 number, since 2×45667889541120² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 418971463626 + ... + 418971463734.

Almost surely, 2^{45667889541120} is an apocalyptic number.

45667889541120 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 45667889541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94701715637760).

45667889541120 is an abundant number, since it is smaller than the sum of its proper divisors (143735541734400).

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

45667889541120 is a wasteful number, since it uses less digits than its factorization.

45667889541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 66.

The spelling of 45667889541120 in words is "forty-five trillion, six hundred sixty-seven billion, eight hundred eighty-nine million, five hundred forty-one thousand, one hundred twenty".