46455295996800 has 1152 divisors, whose sum is σ = 182623263863040. Its totient is φ = 11620374773760.

The previous prime is 46455295996787. The next prime is 46455295996853. The reversal of 46455295996800 is 869959255464.

It is a happy number.

46455295996800 is a `hidden beast` number, since 4 + 6 + 4 + 5 + 5 + 29 + 599 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×46455295996800² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4058288677 + ... + 4058300123.

It is an arithmetic number, because the mean of its divisors is an integer number (158527138770).

Almost surely, 2^{46455295996800} is an apocalyptic number.

46455295996800 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 46455295996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91311631931520).

46455295996800 is an abundant number, since it is smaller than the sum of its proper divisors (136167967866240).

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

46455295996800 is a wasteful number, since it uses less digits than its factorization.

46455295996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11810 (or 11781 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 72.

The spelling of 46455295996800 in words is "forty-six trillion, four hundred fifty-five billion, two hundred ninety-five million, nine hundred ninety-six thousand, eight hundred".