46022266646400 has 768 divisors, whose sum is σ = 167187152908800. Its totient is φ = 11034316800000.

The previous prime is 46022266646387. The next prime is 46022266646437. The reversal of 46022266646400 is 464666222064.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 46022266646400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13108020645 + ... + 13108024155.

It is an arithmetic number, because the mean of its divisors is an integer number (217691605350).

Almost surely, 2^{46022266646400} is an apocalyptic number.

46022266646400 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 46022266646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83593576454400).

46022266646400 is an abundant number, since it is smaller than the sum of its proper divisors (121164886262400).

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

46022266646400 is a wasteful number, since it uses less digits than its factorization.

46022266646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4879 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 46022266646400 in words is "forty-six trillion, twenty-two billion, two hundred sixty-six million, six hundred forty-six thousand, four hundred".