1225949319756 has 288 divisors, whose sum is σ = 3799388436480. Its totient is φ = 325330993152.

The previous prime is 1225949319743. The next prime is 1225949319787. The reversal of 1225949319756 is 6579139495221.

1225949319756 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 9 + 493 + 1 + 97 + 56 = 666.

It is a super-2 number, since 2×1225949319756² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1225949319693 and 1225949319702.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 500999725 + ... + 501002171.

It is an arithmetic number, because the mean of its divisors is an integer number (13192320960).

Almost surely, 2^{1225949319756} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225949319756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899694218240).

1225949319756 is an abundant number, since it is smaller than the sum of its proper divisors (2573439116724).

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

1225949319756 is a wasteful number, since it uses less digits than its factorization.

1225949319756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3968 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The spelling of 1225949319756 in words is "one trillion, two hundred twenty-five billion, nine hundred forty-nine million, three hundred nineteen thousand, seven hundred fifty-six".