45347445470964 has 288 divisors, whose sum is σ = 138757243871232. Its totient is φ = 11410949088000.

The previous prime is 45347445470909. The next prime is 45347445471023. The reversal of 45347445470964 is 46907454474354.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45347445470895 and 45347445470904.

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, 15476779 + ... + 18172109.

It is an arithmetic number, because the mean of its divisors is an integer number (481795985664).

Almost surely, 2^{45347445470964} 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 45347445470964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69378621935616).

45347445470964 is an abundant number, since it is smaller than the sum of its proper divisors (93409798400268).

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

45347445470964 is a wasteful number, since it uses less digits than its factorization.

45347445470964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695467 (or 2695458 counting only the distinct ones).

The product of its (nonzero) digits is 812851200, while the sum is 66.

The spelling of 45347445470964 in words is "forty-five trillion, three hundred forty-seven billion, four hundred forty-five million, four hundred seventy thousand, nine hundred sixty-four".