1653700413344 has 96 divisors (see below), whose sum is σ = 3845911974912. Its totient is φ = 684963072000.

The previous prime is 1653700413341. The next prime is 1653700413347. The reversal of 1653700413344 is 4433140073561.

It is an interprime number because it is at equal distance from previous prime (1653700413341) and next prime (1653700413347).

It is not an unprimeable number, because it can be changed into a prime (1653700413341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5127914 + ... + 5440854.

It is an arithmetic number, because the mean of its divisors is an integer number (40061583072).

Almost surely, 2^{1653700413344} is an apocalyptic number.

1653700413344 is a gapful number since it is divisible by the number (14) 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 1653700413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922955987456).

1653700413344 is an abundant number, since it is smaller than the sum of its proper divisors (2192211561568).

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

1653700413344 is a wasteful number, since it uses less digits than its factorization.

1653700413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313750 (or 313742 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 1653700413344 in words is "one trillion, six hundred fifty-three billion, seven hundred million, four hundred thirteen thousand, three hundred forty-four".