1225813349376 has 264 divisors, whose sum is σ = 4412897446464. Its totient is φ = 318392893440.

The previous prime is 1225813349347. The next prime is 1225813349393. The reversal of 1225813349376 is 6739433185221.

1225813349376 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 81 + 3 + 3 + 493 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154065 + ... + 1573328.

Almost surely, 2^{1225813349376} is an apocalyptic number.

1225813349376 is a gapful number since it is divisible by the number (16) 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 1225813349376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206448723232).

1225813349376 is an abundant number, since it is smaller than the sum of its proper divisors (3187084097088).

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

1225813349376 is a wasteful number, since it uses less digits than its factorization.

1225813349376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727437 (or 1727416 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 1225813349376 in words is "one trillion, two hundred twenty-five billion, eight hundred thirteen million, three hundred forty-nine thousand, three hundred seventy-six".