46816264830720 has 1728 divisors, whose sum is σ = 196397367828480. Its totient is φ = 9230514585600.

The previous prime is 46816264830679. The next prime is 46816264830733. The reversal of 46816264830720 is 2703846261864.

It is a super-2 number, since 2×46816264830720² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14671344325 + ... + 14671347515.

It is an arithmetic number, because the mean of its divisors is an integer number (113655884160).

Almost surely, 2^{46816264830720} is an apocalyptic number.

46816264830720 is a gapful number since it is divisible by the number (40) 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 46816264830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98198683914240).

46816264830720 is an abundant number, since it is smaller than the sum of its proper divisors (149581102997760).

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

46816264830720 is a wasteful number, since it uses less digits than its factorization.

46816264830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 46816264830720 in words is "forty-six trillion, eight hundred sixteen billion, two hundred sixty-four million, eight hundred thirty thousand, seven hundred twenty".