1274832425664 has 1344 divisors, whose sum is σ = 4834761984000. Its totient is φ = 312692244480.

The previous prime is 1274832425653. The next prime is 1274832425689. The reversal of 1274832425664 is 4665242384721.

It is a happy number.

1274832425664 is a `hidden beast` number, since 1 + 2 + 7 + 4 + 8 + 32 + 42 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 1274832425664.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3116949492 + ... + 3116949900.

Almost surely, 2^{1274832425664} is an apocalyptic number.

1274832425664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1274832425664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417380992000).

1274832425664 is an abundant number, since it is smaller than the sum of its proper divisors (3559929558336).

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

1274832425664 is a wasteful number, since it uses less digits than its factorization.

1274832425664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 553 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 1274832425664 in words is "one trillion, two hundred seventy-four billion, eight hundred thirty-two million, four hundred twenty-five thousand, six hundred sixty-four".