1958605848004 has 81 divisors (see below), whose sum is σ = 3918506576103. Its totient is φ = 856092167424.

The previous prime is 1958605847953. The next prime is 1958605848007. The reversal of 1958605848004 is 4008485068591.

It is a happy number.

The square root of 1958605848004 is 1399502.

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

It can be written as a sum of positive squares in 4 ways, for example, as 448361481604 + 1510244366400 = 669598^2 + 1228920^2 .

It is a super-2 number, since 2×1958605848004² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1958605848004.

It is not an unprimeable number, because it can be changed into a prime (1958605848007) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 691352572 + ... + 691355404.

Almost surely, 2^{1958605848004} is an apocalyptic number.

1958605848004 is the 1399502-nd square number.

It is an amenable number.

1958605848004 is an abundant number, since it is smaller than the sum of its proper divisors (1959900728099).

1958605848004 is an equidigital number, since it uses as much as digits as its factorization.

1958605848004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5734 (or 2867 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 58.

The spelling of 1958605848004 in words is "one trillion, nine hundred fifty-eight billion, six hundred five million, eight hundred forty-eight thousand, four".