274405649761152 has 2304 divisors, whose sum is σ = 1074561503400000. Its totient is φ = 68320078331904.

The previous prime is 274405649761129. The next prime is 274405649761163. The reversal of 274405649761152 is 251167946504472.

274405649761152 is a `hidden beast` number, since 2 + 7 + 4 + 4 + 0 + 5 + 6 + 4 + 9 + 7 + 611 + 5 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 274405649761152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 356834394624 + ... + 356834395392.

Almost surely, 2^{274405649761152} 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 274405649761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537280751700000).

274405649761152 is an abundant number, since it is smaller than the sum of its proper divisors (800155853638848).

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

274405649761152 is a wasteful number, since it uses less digits than its factorization.

274405649761152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 274405649761152 in words is "two hundred seventy-four trillion, four hundred five billion, six hundred forty-nine million, seven hundred sixty-one thousand, one hundred fifty-two".