46800561920 has 576 divisors, whose sum is σ = 142411530240. Its totient is φ = 14381875200.

The previous prime is 46800561901. The next prime is 46800561953. The reversal of 46800561920 is 2916500864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245029025 + ... + 245029215.

It is an arithmetic number, because the mean of its divisors is an integer number (247242240).

Almost surely, 2^46800561920 is an apocalyptic number.

46800561920 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 46800561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71205765120).

46800561920 is an abundant number, since it is smaller than the sum of its proper divisors (95610968320).

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

46800561920 is a wasteful number, since it uses less digits than its factorization.

46800561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

It can be divided in two parts, 468005 and 61920, that added together give a palindrome (529925).

The spelling of 46800561920 in words is "forty-six billion, eight hundred million, five hundred sixty-one thousand, nine hundred twenty".