374356751409 has 189 divisors, whose sum is σ = 630751656699. Its totient is φ = 222027039360.

The previous prime is 374356751387. The next prime is 374356751473. The reversal of 374356751409 is 904157653473.

The square root of 374356751409 is 611847.

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

374356751409 is a `hidden beast` number, since 3 + 7 + 435 + 67 + 5 + 140 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 291454218225 + 82902533184 = 539865^2 + 287928^2 .

It is not a de Polignac number, because 374356751409 - 2³¹ = 372209267761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (374356751809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 8705970942 + ... + 8705970984.

Almost surely, 2^374356751409 is an apocalyptic number.

374356751409 is the 611847-th square number.

374356751409 is the 305924-th centered octagonal number.

It is an amenable number.

374356751409 is a deficient number, since it is larger than the sum of its proper divisors (256394905290).

374356751409 is an frugal number, since it uses more digits than its factorization.

374356751409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 374356751409 in words is "three hundred seventy-four billion, three hundred fifty-six million, seven hundred fifty-one thousand, four hundred nine".