1295973451864 has 128 divisors (see below), whose sum is σ = 3067634908800. Its totient is φ = 499659632640.

The previous prime is 1295973451859. The next prime is 1295973451879. The reversal of 1295973451864 is 4681543795921.

It is a junction number, because it is equal to n+sod(n) for n = 1295973451796 and 1295973451805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4706604 + ... + 4974340.

It is an arithmetic number, because the mean of its divisors is an integer number (23965897725).

Almost surely, 2^{1295973451864} is an apocalyptic number.

1295973451864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1295973451864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533817454400).

1295973451864 is an abundant number, since it is smaller than the sum of its proper divisors (1771661456936).

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

1295973451864 is a wasteful number, since it uses less digits than its factorization.

1295973451864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267933 (or 267929 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 64.

The spelling of 1295973451864 in words is "one trillion, two hundred ninety-five billion, nine hundred seventy-three million, four hundred fifty-one thousand, eight hundred sixty-four".