1951047446401 has 9 divisors (see below), whose sum is σ = 1976168635203. Its totient is φ = 1926241692960.

The previous prime is 1951047446353. The next prime is 1951047446417. The reversal of 1951047446401 is 1046447401591.

The square root of 1951047446401 is 1396799.

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

It can be written as a sum of positive squares in only one way, i.e., 531804104001 + 1419243342400 = 729249^2 + 1191320^2 .

It is not a de Polignac number, because 1951047446401 - 2²⁷ = 1950913228673 is a prime.

It is a super-2 number, since 2×1951047446401² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1951047446441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 110338281 + ... + 110355961.

Almost surely, 2^{1951047446401} is an apocalyptic number.

1951047446401 is the 1396799-th square number.

1951047446401 is the 698400-th centered octagonal number.

It is an amenable number.

1951047446401 is a deficient number, since it is larger than the sum of its proper divisors (25121188802).

1951047446401 is an frugal number, since it uses more digits than its factorization.

1951047446401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35520 (or 17760 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 1951047446401 in words is "one trillion, nine hundred fifty-one billion, forty-seven million, four hundred forty-six thousand, four hundred one".