1953112461444 has 45 divisors (see below), whose sum is σ = 5105887536981. Its totient is φ = 651029101920.

The previous prime is 1953112461427. The next prime is 1953112461467. The reversal of 1953112461444 is 4441642113591.

The square root of 1953112461444 is 1397538.

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

1953112461444 is a `hidden beast` number, since 1 + 9 + 5 + 3 + 1 + 1 + 24 + 614 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118929799044 + 1834182662400 = 344862^2 + 1354320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1953112461444.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25116864 + ... + 25194504.

Almost surely, 2^{1953112461444} is an apocalyptic number.

1953112461444 is the 1397538-th square number.

It is an amenable number.

1953112461444 is an abundant number, since it is smaller than the sum of its proper divisors (3152775075537).

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

1953112461444 is an frugal number, since it uses more digits than its factorization.

1953112461444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155298 (or 77646 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 1953112461444 in words is "one trillion, nine hundred fifty-three billion, one hundred twelve million, four hundred sixty-one thousand, four hundred forty-four".