46792823952 has 320 divisors, whose sum is σ = 154532966400. Its totient is φ = 11877580800.

The previous prime is 46792823941. The next prime is 46792823977. The reversal of 46792823952 is 25932829764.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 46792823892 and 46792823901.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38960952 + ... + 38962152.

It is an arithmetic number, because the mean of its divisors is an integer number (482915520).

Almost surely, 2^46792823952 is an apocalyptic number.

46792823952 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 46792823952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77266483200).

46792823952 is an abundant number, since it is smaller than the sum of its proper divisors (107740142448).

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

46792823952 is a wasteful number, since it uses less digits than its factorization.

46792823952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1608 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 57.

It can be divided in two parts, 4679 and 2823952, that added together give a triangular number (2828631 = T₂₃₇₈).

The spelling of 46792823952 in words is "forty-six billion, seven hundred ninety-two million, eight hundred twenty-three thousand, nine hundred fifty-two".