11455022145204 has 336 divisors, whose sum is σ = 32934151345536. Its totient is φ = 3455791257600.

The previous prime is 11455022145137. The next prime is 11455022145313. The reversal of 11455022145204 is 40254122055411.

11455022145204 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 502 + 2 + 145 + 2 + 0 + 4 = 666.

It is a super-2 number, since 2×11455022145204² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12914342449 + ... + 12914343335.

It is an arithmetic number, because the mean of its divisors is an integer number (98018307576).

Almost surely, 2^{11455022145204} 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 11455022145204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16467075672768).

11455022145204 is an abundant number, since it is smaller than the sum of its proper divisors (21479129200332).

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

11455022145204 is a wasteful number, since it uses less digits than its factorization.

11455022145204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 11455022145204 in words is "eleven trillion, four hundred fifty-five billion, twenty-two million, one hundred forty-five thousand, two hundred four".