1653131363664 has 160 divisors (see below), whose sum is σ = 4981716328320. Its totient is φ = 466812928000.

The previous prime is 1653131363659. The next prime is 1653131363669. The reversal of 1653131363664 is 4663631313561.

It is an interprime number because it is at equal distance from previous prime (1653131363659) and next prime (1653131363669).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1653131363669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5169 + ... + 1818320.

It is an arithmetic number, because the mean of its divisors is an integer number (31135727052).

Almost surely, 2^{1653131363664} 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 1653131363664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490858164160).

1653131363664 is an abundant number, since it is smaller than the sum of its proper divisors (3328584964656).

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

1653131363664 is a wasteful number, since it uses less digits than its factorization.

1653131363664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823629 (or 1823623 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 48.

The spelling of 1653131363664 in words is "one trillion, six hundred fifty-three billion, one hundred thirty-one million, three hundred sixty-three thousand, six hundred sixty-four".