1225367473824 has 480 divisors, whose sum is σ = 4056323927040. Its totient is φ = 360055922688.

The previous prime is 1225367473819. The next prime is 1225367473861. The reversal of 1225367473824 is 4283747635221.

1225367473824 is a `hidden beast` number, since 1 + 2 + 2 + 536 + 74 + 7 + 38 + 2 + 4 = 666.

It is a super-2 number, since 2×1225367473824² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 781982289 + ... + 781983855.

It is an arithmetic number, because the mean of its divisors is an integer number (8450674848).

Almost surely, 2^{1225367473824} 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 1225367473824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028161963520).

1225367473824 is an abundant number, since it is smaller than the sum of its proper divisors (2830956453216).

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

1225367473824 is a wasteful number, since it uses less digits than its factorization.

1225367473824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2617 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 1225367473824 in words is "one trillion, two hundred twenty-five billion, three hundred sixty-seven million, four hundred seventy-three thousand, eight hundred twenty-four".