1122354281664 has 672 divisors, whose sum is σ = 4106573033472. Its totient is φ = 284643072000.

The previous prime is 1122354281663. The next prime is 1122354281779. The reversal of 1122354281664 is 4661824532211.

1122354281664 is a `hidden beast` number, since 1 + 1 + 2 + 23 + 542 + 81 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (1122354281663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336940479 + ... + 336943809.

It is an arithmetic number, because the mean of its divisors is an integer number (6110971776).

Almost surely, 2^{1122354281664} is an apocalyptic number.

1122354281664 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 1122354281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053286516736).

1122354281664 is an abundant number, since it is smaller than the sum of its proper divisors (2984218751808).

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

1122354281664 is a wasteful number, since it uses less digits than its factorization.

1122354281664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3532 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 1122354281664 in words is "one trillion, one hundred twenty-two billion, three hundred fifty-four million, two hundred eighty-one thousand, six hundred sixty-four".