46395750481920 has 2304 divisors, whose sum is σ = 199844065935360. Its totient is φ = 9988315545600.

The previous prime is 46395750481907. The next prime is 46395750481967. The reversal of 46395750481920 is 2918405759364.

46395750481920 is a `hidden beast` number, since 4 + 6 + 3 + 9 + 575 + 0 + 48 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 165109432180 + ... + 165109432460.

It is an arithmetic number, because the mean of its divisors is an integer number (86737875840).

It is a 3-persistent number, because k⋅46395750481920 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{46395750481920} is an apocalyptic number.

46395750481920 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 46395750481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99922032967680).

46395750481920 is an abundant number, since it is smaller than the sum of its proper divisors (153448315453440).

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

46395750481920 is an equidigital number, since it uses as much as digits as its factorization.

46395750481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 46395750481920 in words is "forty-six trillion, three hundred ninety-five billion, seven hundred fifty million, four hundred eighty-one thousand, nine hundred twenty".