1649810115072 has 400 divisors, whose sum is σ = 5821801666560. Its totient is φ = 455117709312.

The previous prime is 1649810115071. The next prime is 1649810115073. The reversal of 1649810115072 is 2705110189461.

1649810115072 is a `hidden beast` number, since 1 + 6 + 498 + 1 + 0 + 1 + 150 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1649810115071) and next prime (1649810115073).

It is not an unprimeable number, because it can be changed into a prime (1649810115071) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8320833 + ... + 8516799.

Almost surely, 2^{1649810115072} is an apocalyptic number.

1649810115072 is a gapful number since it is divisible by the number (12) 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 1649810115072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910900833280).

1649810115072 is an abundant number, since it is smaller than the sum of its proper divisors (4171991551488).

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

1649810115072 is an equidigital number, since it uses as much as digits as its factorization.

1649810115072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196033 (or 196008 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1649810115072 in words is "one trillion, six hundred forty-nine billion, eight hundred ten million, one hundred fifteen thousand, seventy-two".