1653497157312 has 1680 divisors, whose sum is σ = 6703831867392. Its totient is φ = 391283343360.

The previous prime is 1653497157311. The next prime is 1653497157317. The reversal of 1653497157312 is 2137517943561.

1653497157312 is a `hidden beast` number, since 1 + 6 + 53 + 4 + 9 + 7 + 1 + 573 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1653497157311) 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 239 ways as a sum of consecutive naturals, for example, 8567342688 + ... + 8567342880.

Almost surely, 2^{1653497157312} is an apocalyptic number.

1653497157312 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 1653497157312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351915933696).

1653497157312 is an abundant number, since it is smaller than the sum of its proper divisors (5050334710080).

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

1653497157312 is a wasteful number, since it uses less digits than its factorization.

1653497157312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 356 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 1653497157312 in words is "one trillion, six hundred fifty-three billion, four hundred ninety-seven million, one hundred fifty-seven thousand, three hundred twelve".