1653098463972 has 120 divisors (see below), whose sum is σ = 4592622101760. Its totient is φ = 516704935680.

The previous prime is 1653098463953. The next prime is 1653098463977. The reversal of 1653098463972 is 2793648903561.

1653098463972 is a `hidden beast` number, since 1 + 6 + 530 + 9 + 8 + 4 + 6 + 3 + 97 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1653098463977) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 938929 + ... + 2046407.

It is an arithmetic number, because the mean of its divisors is an integer number (38271850848).

It is a 1-persistent number, because it is pandigital, but 2⋅1653098463972 = 3306196927944 is not.

Almost surely, 2^{1653098463972} is an apocalyptic number.

1653098463972 is a gapful number since it is divisible by the number (12) 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 1653098463972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296311050880).

1653098463972 is an abundant number, since it is smaller than the sum of its proper divisors (2939523637788).

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

1653098463972 is a wasteful number, since it uses less digits than its factorization.

1653098463972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107783 (or 1107772 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 1653098463972 in words is "one trillion, six hundred fifty-three billion, ninety-eight million, four hundred sixty-three thousand, nine hundred seventy-two".