1952434572816 has 320 divisors, whose sum is σ = 6386443352576. Its totient is φ = 500152320000.

The previous prime is 1952434572811. The next prime is 1952434572833. The reversal of 1952434572816 is 6182754342591.

It is a happy number.

It is a super-2 number, since 2×1952434572816² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1952434572811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97121166 + ... + 97141266.

Almost surely, 2^{1952434572816} is an apocalyptic number.

1952434572816 is a gapful number since it is divisible by the number (16) 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 1952434572816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193221676288).

1952434572816 is an abundant number, since it is smaller than the sum of its proper divisors (4434008779760).

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

1952434572816 is a wasteful number, since it uses less digits than its factorization.

1952434572816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20770 (or 20764 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 57.

The spelling of 1952434572816 in words is "one trillion, nine hundred fifty-two billion, four hundred thirty-four million, five hundred seventy-two thousand, eight hundred sixteen".