1649360434176 has 2640 divisors, whose sum is σ = 6830930050560. Its totient is φ = 391283343360.

The previous prime is 1649360434133. The next prime is 1649360434277. The reversal of 1649360434176 is 6714340639461.

1649360434176 is a `hidden beast` number, since 1 + 6 + 4 + 9 + 36 + 0 + 434 + 176 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 31120008166 + ... + 31120008218.

It is an arithmetic number, because the mean of its divisors is an integer number (2587473504).

Almost surely, 2^{1649360434176} is an apocalyptic number.

1649360434176 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 1649360434176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415465025280).

1649360434176 is an abundant number, since it is smaller than the sum of its proper divisors (5181569616384).

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

1649360434176 is a wasteful number, since it uses less digits than its factorization.

1649360434176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 1649360434176 in words is "one trillion, six hundred forty-nine billion, three hundred sixty million, four hundred thirty-four thousand, one hundred seventy-six".