36319347456 has 144 divisors (see below), whose sum is σ = 110720569344. Its totient is φ = 10353549312.

The previous prime is 36319347367. The next prime is 36319347461. The reversal of 36319347456 is 65474391363.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 36319347399 and 36319347408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2449441 + ... + 2464223.

Almost surely, 2^36319347456 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 36319347456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55360284672).

36319347456 is an abundant number, since it is smaller than the sum of its proper divisors (74401221888).

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

36319347456 is a wasteful number, since it uses less digits than its factorization.

36319347456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15266 (or 15252 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 51.

The spelling of 36319347456 in words is "thirty-six billion, three hundred nineteen million, three hundred forty-seven thousand, four hundred fifty-six".