46981371600 has 240 divisors, whose sum is σ = 171739771840. Its totient is φ = 12189657600.

The previous prime is 46981371599. The next prime is 46981371607. The reversal of 46981371600 is 617318964.

It is a happy number.

46981371600 is a `hidden beast` number, since 4 + 6 + 9 + 8 + 1 + 37 + 1 + 600 = 666.

46981371600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46981371607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340815 + ... + 458385.

Almost surely, 2^46981371600 is an apocalyptic number.

46981371600 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 46981371600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85869885920).

46981371600 is an abundant number, since it is smaller than the sum of its proper divisors (124758400240).

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

46981371600 is a wasteful number, since it uses less digits than its factorization.

46981371600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117635 (or 117618 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

It can be divided in two parts, 46981371 and 600, that added together give a triangular number (46981971 = T₉₆₉₃).

The spelling of 46981371600 in words is "forty-six billion, nine hundred eighty-one million, three hundred seventy-one thousand, six hundred".