1649472024816 has 360 divisors, whose sum is σ = 6112779364224. Its totient is φ = 409806270720.

The previous prime is 1649472024799. The next prime is 1649472024829. The reversal of 1649472024816 is 6184202749461.

1649472024816 is a `hidden beast` number, since 1 + 6 + 4 + 94 + 72 + 0 + 2 + 481 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1323175 + ... + 2247161.

Almost surely, 2^{1649472024816} is an apocalyptic number.

1649472024816 is a gapful number since it is divisible by the number (16) 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 1649472024816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3056389682112).

1649472024816 is an abundant number, since it is smaller than the sum of its proper divisors (4463307339408).

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

1649472024816 is a wasteful number, since it uses less digits than its factorization.

1649472024816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924049 (or 924033 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1649472024816 in words is "one trillion, six hundred forty-nine billion, four hundred seventy-two million, twenty-four thousand, eight hundred sixteen".