1950625635904 has 189 divisors, whose sum is σ = 4344134992561. Its totient is φ = 868379860480.

The previous prime is 1950625635899. The next prime is 1950625635949. The reversal of 1950625635904 is 4095365260591.

The square root of 1950625635904 is 1396648.

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., 128341629504 + 1822284006400 = 358248^2 + 1349920^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7251396282 + ... + 7251396550.

Almost surely, 2^{1950625635904} is an apocalyptic number.

1950625635904 is the 1396648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1950625635904

1950625635904 is an abundant number, since it is smaller than the sum of its proper divisors (2393509356657).

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

1950625635904 is an frugal number, since it uses more digits than its factorization.

1950625635904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 55.

The spelling of 1950625635904 in words is "one trillion, nine hundred fifty billion, six hundred twenty-five million, six hundred thirty-five thousand, nine hundred four".