336147172816 has 640 divisors, whose sum is σ = 904386560000. Its totient is φ = 119830523904.

The previous prime is 336147172799. The next prime is 336147172883. The reversal of 336147172816 is 618271741633.

It is a super-2 number, since 2×336147172816² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

Its product of digits (1016064) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 336147172816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4255027465 + ... + 4255027543.

It is an arithmetic number, because the mean of its divisors is an integer number (1413104000).

Almost surely, 2^336147172816 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 336147172816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452193280000).

336147172816 is an abundant number, since it is smaller than the sum of its proper divisors (568239387184).

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

336147172816 is a wasteful number, since it uses less digits than its factorization.

336147172816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 236 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 49.

The spelling of 336147172816 in words is "three hundred thirty-six billion, one hundred forty-seven million, one hundred seventy-two thousand, eight hundred sixteen".