46268913600 has 2016 divisors, whose sum is σ = 224521629696. Its totient is φ = 8758886400.

The previous prime is 46268913577. The next prime is 46268913619. The reversal of 46268913600 is 631986264.

46268913600 is a `hidden beast` number, since 4 + 6 + 26 + 8 + 9 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

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 287 ways as a sum of consecutive naturals, for example, 690580767 + ... + 690580833.

It is an arithmetic number, because the mean of its divisors is an integer number (111369856).

Almost surely, 2^46268913600 is an apocalyptic number.

46268913600 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 46268913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112260814848).

46268913600 is an abundant number, since it is smaller than the sum of its proper divisors (178252716096).

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

46268913600 is a wasteful number, since it uses less digits than its factorization.

46268913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 46268913600 in words is "forty-six billion, two hundred sixty-eight million, nine hundred thirteen thousand, six hundred".