46823076806352 has 720 divisors, whose sum is σ = 156093178147200. Its totient is φ = 12049891983360.

The previous prime is 46823076806279. The next prime is 46823076806371. The reversal of 46823076806352 is 25360867032864.

It is a super-2 number, since 2×46823076806352² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14554887048 + ... + 14554890264.

It is an arithmetic number, because the mean of its divisors is an integer number (216796080760).

Almost surely, 2^{46823076806352} is an apocalyptic number.

46823076806352 is a gapful number since it is divisible by the number (42) 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 46823076806352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78046589073600).

46823076806352 is an abundant number, since it is smaller than the sum of its proper divisors (109270101340848).

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

46823076806352 is a wasteful number, since it uses less digits than its factorization.

46823076806352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3720 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 60.

The spelling of 46823076806352 in words is "forty-six trillion, eight hundred twenty-three billion, seventy-six million, eight hundred six thousand, three hundred fifty-two".