46542644100 has 216 divisors, whose sum is σ = 150255148680. Its totient is φ = 12041533440.

The previous prime is 46542644089. The next prime is 46542644101. The reversal of 46542644100 is 144624564.

46542644100 is a `hidden beast` number, since 4 + 6 + 5 + 4 + 2 + 644 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 12278412864 + 34264231236 = 110808^2 + 185106^2 .

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

It is not an unprimeable number, because it can be changed into a prime (46542644101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12951904 + ... + 12955496.

Almost surely, 2^46542644100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46542644100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75127574340).

46542644100 is an abundant number, since it is smaller than the sum of its proper divisors (103712504580).

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

46542644100 is a wasteful number, since it uses less digits than its factorization.

46542644100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 46542644100 in words is "forty-six billion, five hundred forty-two million, six hundred forty-four thousand, one hundred".