45642702872144 has 480 divisors, whose sum is σ = 114087414295296. Its totient is φ = 17255205273600.

The previous prime is 45642702872131. The next prime is 45642702872183. The reversal of 45642702872144 is 44127820724654.

It is a super-2 number, since 2×45642702872144² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 45642702872144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43427880419 + ... + 43427881469.

Almost surely, 2^{45642702872144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45642702872144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57043707147648).

45642702872144 is an abundant number, since it is smaller than the sum of its proper divisors (68444711423152).

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

45642702872144 is a wasteful number, since it uses less digits than its factorization.

45642702872144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 56.

The spelling of 45642702872144 in words is "forty-five trillion, six hundred forty-two billion, seven hundred two million, eight hundred seventy-two thousand, one hundred forty-four".