45238210467660 has 1536 divisors, whose sum is σ = 178868138803200. Its totient is φ = 9254937968640.

The previous prime is 45238210467607. The next prime is 45238210467707. The reversal of 45238210467660 is 6676401283254.

45238210467660 is a `hidden beast` number, since 4 + 523 + 8 + 2 + 1 + 0 + 46 + 76 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 45238210467597 and 45238210467606.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 41389030074 + ... + 41389031166.

It is an arithmetic number, because the mean of its divisors is an integer number (116450611200).

Almost surely, 2^{45238210467660} 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 45238210467660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89434069401600).

45238210467660 is an abundant number, since it is smaller than the sum of its proper divisors (133629928335540).

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

45238210467660 is a wasteful number, since it uses less digits than its factorization.

45238210467660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 45238210467660 in words is "forty-five trillion, two hundred thirty-eight billion, two hundred ten million, four hundred sixty-seven thousand, six hundred sixty".