1474611920896 has 135 divisors (see below), whose sum is σ = 3022713906541. Its totient is φ = 719353217024.

The previous prime is 1474611920797. The next prime is 1474611920923. The reversal of 1474611920896 is 6980291164741.

It is a happy number.

The square root of 1474611920896 is 1214336.

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., 1063043481600 + 411568439296 = 1031040^2 + 641536^2 .

It is a super-2 number, since 2×1474611920896² (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 1474611920896.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8238055335 + ... + 8238055513.

Almost surely, 2^{1474611920896} is an apocalyptic number.

1474611920896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1474611920896 is the 1214336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1474611920896

1474611920896 is an abundant number, since it is smaller than the sum of its proper divisors (1548101985645).

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

1474611920896 is an frugal number, since it uses more digits than its factorization.

1474611920896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 58.

The spelling of 1474611920896 in words is "one trillion, four hundred seventy-four billion, six hundred eleven million, nine hundred twenty thousand, eight hundred ninety-six".