374890070016 has 512 divisors, whose sum is σ = 1385105817600. Its totient is φ = 97356349440.

The previous prime is 374890069999. The next prime is 374890070017. The reversal of 374890070016 is 610070098473.

It is a tau number, because it is divible by the number of its divisors (512).

It is not an unprimeable number, because it can be changed into a prime (374890070017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68121921 + ... + 68127423.

It is an arithmetic number, because the mean of its divisors is an integer number (2705284800).

Almost surely, 2^374890070016 is an apocalyptic number.

374890070016 is a gapful number since it is divisible by the number (36) 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 374890070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692552908800).

374890070016 is an abundant number, since it is smaller than the sum of its proper divisors (1010215747584).

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

374890070016 is an equidigital number, since it uses as much as digits as its factorization.

374890070016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 374890070016 in words is "three hundred seventy-four billion, eight hundred ninety million, seventy thousand, sixteen".