45735956163612 has 288 divisors, whose sum is σ = 140091179880960. Its totient is φ = 12791335864320.

The previous prime is 45735956163539. The next prime is 45735956163647. The reversal of 45735956163612 is 21636165953754.

45735956163612 is a `hidden beast` number, since 4 + 5 + 7 + 3 + 5 + 9 + 5 + 6 + 1 + 6 + 3 + 612 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 45735956163612.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1784247948 + ... + 1784273580.

It is an arithmetic number, because the mean of its divisors is an integer number (486427707920).

Almost surely, 2^{45735956163612} 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 45735956163612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70045589940480).

45735956163612 is an abundant number, since it is smaller than the sum of its proper divisors (94355223717348).

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

45735956163612 is a wasteful number, since it uses less digits than its factorization.

45735956163612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34570 (or 34549 counting only the distinct ones).

The product of its digits is 122472000, while the sum is 63.

The spelling of 45735956163612 in words is "forty-five trillion, seven hundred thirty-five billion, nine hundred fifty-six million, one hundred sixty-three thousand, six hundred twelve".