8049953515536 has 405 divisors, whose sum is σ = 24201282429597. Its totient is φ = 2497682638080.

The previous prime is 8049953515529. The next prime is 8049953515543. The reversal of 8049953515536 is 6355153599408.

It is a happy number.

The square root of 8049953515536 is 2837244.

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

8049953515536 is a `hidden beast` number, since 8 + 0 + 4 + 9 + 95 + 3 + 5 + 1 + 5 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (8049953515529) and next prime (8049953515543).

It can be written as a sum of positive squares in only one way, i.e., 4221200357136 + 3828753158400 = 2054556^2 + 1956720^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30608188141 + ... + 30608188403.

Almost surely, 2^{8049953515536} is an apocalyptic number.

8049953515536 is the 2837244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8049953515536

8049953515536 is an abundant number, since it is smaller than the sum of its proper divisors (16151328914061).

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

8049953515536 is a wasteful number, since it uses less digits than its factorization.

8049953515536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 87480000, while the sum is 63.

The spelling of 8049953515536 in words is "eight trillion, forty-nine billion, nine hundred fifty-three million, five hundred fifteen thousand, five hundred thirty-six".