15944049000000 has 1029 divisors, whose sum is σ = 62837706741277. Its totient is φ = 3865224000000.

The previous prime is 15944048999909. The next prime is 15944049000007. The reversal of 15944049000000 is 94044951.

It is a happy number.

The square root of 15944049000000 is 3993000.

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

It can be written as a sum of positive squares in 3 ways, for example, as 13968517552704 + 1975531447296 = 3737448^2 + 1405536^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15944049000007) by changing a digit.

It is a polite number, since it can be written in 146 ways as a sum of consecutive naturals, for example, 1449458999995 + ... + 1449459000005.

Almost surely, 2^{15944049000000} is an apocalyptic number.

15944049000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15944049000000 is the 3993000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15944049000000

15944049000000 is an abundant number, since it is smaller than the sum of its proper divisors (46893657741277).

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

15944049000000 is an frugal number, since it uses more digits than its factorization.

15944049000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 15944049000000 by its sum of digits (36), we get a square (573985764000000 = 23958000²).

15944049000000 divided by its sum of digits (36) gives a square (442890250000 = 665500²).

The spelling of 15944049000000 in words is "fifteen trillion, nine hundred forty-four billion, forty-nine million", and thus it is an aban number.