45653897650172 has 192 divisors, whose sum is σ = 97391532564480. Its totient is φ = 18313189171200.

The previous prime is 45653897650157. The next prime is 45653897650183. The reversal of 45653897650172 is 27105679835654.

45653897650172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9670384772 + ... + 9670389492.

It is an arithmetic number, because the mean of its divisors is an integer number (507247565440).

It is a 1-persistent number, because it is pandigital, but 2⋅45653897650172 = 91307795300344 is not.

Almost surely, 2^{45653897650172} 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 45653897650172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48695766282240).

45653897650172 is an abundant number, since it is smaller than the sum of its proper divisors (51737634914308).

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

45653897650172 is a wasteful number, since it uses less digits than its factorization.

45653897650172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7292 (or 7290 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 68.

The spelling of 45653897650172 in words is "forty-five trillion, six hundred fifty-three billion, eight hundred ninety-seven million, six hundred fifty thousand, one hundred seventy-two".