15253773849664 has 189 divisors, whose sum is σ = 35627413659813. Its totient is φ = 6460937957376.

The previous prime is 15253773849661. The next prime is 15253773849689. The reversal of 15253773849664 is 46694837735251.

The square root of 15253773849664 is 3905608.

It is a perfect power (a square), and thus also a powerful number.

15253773849664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6849526465600 + 8404247384064 = 2617160^2 + 2899008^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15253773849593 and 15253773849602.

It is not an unprimeable number, because it can be changed into a prime (15253773849661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21215262297 + ... + 21215263015.

Almost surely, 2^{15253773849664} is an apocalyptic number.

15253773849664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

15253773849664 is the 3905608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15253773849664

15253773849664 is an abundant number, since it is smaller than the sum of its proper divisors (20373639810149).

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

15253773849664 is an frugal number, since it uses more digits than its factorization.

15253773849664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 825 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 70.

The spelling of 15253773849664 in words is "fifteen trillion, two hundred fifty-three billion, seven hundred seventy-three million, eight hundred forty-nine thousand, six hundred sixty-four".