46889298892800 has 2592 divisors, whose sum is σ = 217198207175040. Its totient is φ = 9572135731200.

The previous prime is 46889298892753. The next prime is 46889298892847. The reversal of 46889298892800 is 829889298864.

It is a happy number.

46889298892800 is a `hidden beast` number, since 46 + 8 + 8 + 9 + 298 + 8 + 9 + 280 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46889298892753) and next prime (46889298892847).

It is a super-3 number, since 3×46889298892800³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 46889298892800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9099415024 + ... + 9099420176.

It is an arithmetic number, because the mean of its divisors is an integer number (83795604620).

Almost surely, 2^{46889298892800} is an apocalyptic number.

46889298892800 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 46889298892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108599103587520).

46889298892800 is an abundant number, since it is smaller than the sum of its proper divisors (170308908282240).

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

46889298892800 is a wasteful number, since it uses less digits than its factorization.

46889298892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5249 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 2293235712, while the sum is 81.

The spelling of 46889298892800 in words is "forty-six trillion, eight hundred eighty-nine billion, two hundred ninety-eight million, eight hundred ninety-two thousand, eight hundred".