46220364288000 has 3328 divisors, whose sum is σ = 214718795366400. Its totient is φ = 9564703948800.

The previous prime is 46220364287983. The next prime is 46220364288017. The reversal of 46220364288000 is 88246302264.

46220364288000 is a `hidden beast` number, since 4 + 6 + 2 + 2 + 0 + 364 + 288 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46220364287983) and next prime (46220364288017).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 42287615454 + ... + 42287616546.

It is an arithmetic number, because the mean of its divisors is an integer number (64518868800).

Almost surely, 2^{46220364288000} is an apocalyptic number.

46220364288000 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 46220364288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107359397683200).

46220364288000 is an abundant number, since it is smaller than the sum of its proper divisors (168498431078400).

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

46220364288000 is a wasteful number, since it uses less digits than its factorization.

46220364288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 46220364288000 in words is "forty-six trillion, two hundred twenty billion, three hundred sixty-four million, two hundred eighty-eight thousand".