46395853297920 has 1728 divisors, whose sum is σ = 203669915904000. Its totient is φ = 9875819593728.

The previous prime is 46395853297883. The next prime is 46395853297931. The reversal of 46395853297920 is 2979235859364.

46395853297920 is a `hidden beast` number, since 4 + 6 + 3 + 9 + 585 + 32 + 9 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×46395853297920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 2440721376 + ... + 2440740384.

Almost surely, 2^{46395853297920} is an apocalyptic number.

46395853297920 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 46395853297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101834957952000).

46395853297920 is an abundant number, since it is smaller than the sum of its proper divisors (157274062606080).

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

46395853297920 is a wasteful number, since it uses less digits than its factorization.

46395853297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19130 (or 19104 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 46395853297920 in words is "forty-six trillion, three hundred ninety-five billion, eight hundred fifty-three million, two hundred ninety-seven thousand, nine hundred twenty".