48610533501684 has 144 divisors (see below), whose sum is σ = 159930759764160. Its totient is φ = 12626112582720.

The previous prime is 48610533501679. The next prime is 48610533501697.

It is a happy number.

48610533501684 is a `hidden beast` number, since 4 + 8 + 6 + 1 + 0 + 53 + 3 + 501 + 6 + 84 = 666.

48610533501684 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 48610533501684.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417471967 + ... + 417588390.

It is an arithmetic number, because the mean of its divisors is an integer number (1110630276140).

Almost surely, 2^{48610533501684} is an apocalyptic number.

48610533501684 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48610533501684 is an abundant number, since it is smaller than the sum of its proper divisors (111320226262476).

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

48610533501684 is a wasteful number, since it uses less digits than its factorization.

48610533501684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835060395 (or 835060380 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 48610533501684 in words is "forty-eight trillion, six hundred ten billion, five hundred thirty-three million, five hundred one thousand, six hundred eighty-four".