46468354108800 has 1152 divisors, whose sum is σ = 175711366609920. Its totient is φ = 10769780736000.

The previous prime is 46468354108723. The next prime is 46468354108801. The reversal of 46468354108800 is 880145386464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46468354108801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1860880315 + ... + 1860905285.

It is an arithmetic number, because the mean of its divisors is an integer number (152527227960).

Almost surely, 2^{46468354108800} is an apocalyptic number.

46468354108800 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 46468354108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87855683304960).

46468354108800 is an abundant number, since it is smaller than the sum of its proper divisors (129243012501120).

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

46468354108800 is a wasteful number, since it uses less digits than its factorization.

46468354108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25092 (or 25062 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 46468354108800 in words is "forty-six trillion, four hundred sixty-eight billion, three hundred fifty-four million, one hundred eight thousand, eight hundred".