1914393235456 has 117 divisors (see below), whose sum is σ = 4147952207049. Its totient is φ = 883034800128.

The previous prime is 1914393235453. The next prime is 1914393235487. The reversal of 1914393235456 is 6545323934191.

1914393235456 = 1³ + 2³ + ... + 1663³.

It is a happy number.

The square root of 1914393235456 is 1383616.

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., 283194265600 + 1631198969856 = 532160^2 + 1277184^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1914393235397 and 1914393235406.

It is not an unprimeable number, because it can be changed into a prime (1914393235451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1151167681 + ... + 1151169343.

Almost surely, 2^{1914393235456} is an apocalyptic number.

1914393235456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1914393235456 is the 1383616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1914393235456

1914393235456 is an abundant number, since it is smaller than the sum of its proper divisors (2233558971593).

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

1914393235456 is an frugal number, since it uses more digits than its factorization.

1914393235456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 1678 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 55.

The spelling of 1914393235456 in words is "one trillion, nine hundred fourteen billion, three hundred ninety-three million, two hundred thirty-five thousand, four hundred fifty-six".