31364434416 has 320 divisors, whose sum is σ = 96713809920. Its totient is φ = 8575441920.

The previous prime is 31364434411. The next prime is 31364434469. The reversal of 31364434416 is 61443446313.

It is a super-2 number, since 2×31364434416² (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31364434411) 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, 175220215 + ... + 175220393.

It is an arithmetic number, because the mean of its divisors is an integer number (302230656).

Almost surely, 2^31364434416 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 31364434416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48356904960).

31364434416 is an abundant number, since it is smaller than the sum of its proper divisors (65349375504).

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

31364434416 is a wasteful number, since it uses less digits than its factorization.

31364434416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 438 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

The spelling of 31364434416 in words is "thirty-one billion, three hundred sixty-four million, four hundred thirty-four thousand, four hundred sixteen".