46089014400 has 1728 divisors, whose sum is σ = 210489027840. Its totient is φ = 9455616000.

The previous prime is 46089014383. The next prime is 46089014401. The reversal of 46089014400 is 441098064.

It is a happy number.

46089014400 is a `hidden beast` number, since 4 + 608 + 9 + 0 + 1 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46089014401) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1486742385 + ... + 1486742415.

It is an arithmetic number, because the mean of its divisors is an integer number (121810780).

Almost surely, 2^46089014400 is an apocalyptic number.

46089014400 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 46089014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105244513920).

46089014400 is an abundant number, since it is smaller than the sum of its proper divisors (164400013440).

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

46089014400 is a wasteful number, since it uses less digits than its factorization.

46089014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 46089014400 in words is "forty-six billion, eighty-nine million, fourteen thousand, four hundred".