4294872652896 has 864 divisors, whose sum is σ = 14713884057600. Its totient is φ = 1184396451840.

The previous prime is 4294872652849. The next prime is 4294872652907. The reversal of 4294872652896 is 6982562784924.

4294872652896 is a `hidden beast` number, since 4 + 2 + 9 + 4 + 8 + 7 + 2 + 6 + 528 + 96 = 666.

It is a super-2 number, since 2×4294872652896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17970178345 + ... + 17970178583.

It is an arithmetic number, because the mean of its divisors is an integer number (17029958400).

Almost surely, 2^{4294872652896} 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 4294872652896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7356942028800).

4294872652896 is an abundant number, since it is smaller than the sum of its proper divisors (10419011404704).

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

4294872652896 is a wasteful number, since it uses less digits than its factorization.

4294872652896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 614 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 4294872652896 in words is "four trillion, two hundred ninety-four billion, eight hundred seventy-two million, six hundred fifty-two thousand, eight hundred ninety-six".