114533351553204 has 288 divisors, whose sum is σ = 305244835983360. Its totient is φ = 37543987555200.

The previous prime is 114533351553017. The next prime is 114533351553217. The reversal of 114533351553204 is 402355153335411.

114533351553204 is a `hidden beast` number, since 1 + 1 + 4 + 53 + 33 + 515 + 53 + 2 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114533351553204.

It is a congruent number.

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, 80487245637 + ... + 80487247059.

It is an arithmetic number, because the mean of its divisors is an integer number (1059877902720).

Almost surely, 2^{114533351553204} 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 114533351553204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152622417991680).

114533351553204 is an abundant number, since it is smaller than the sum of its proper divisors (190711484430156).

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

114533351553204 is a wasteful number, since it uses less digits than its factorization.

114533351553204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3673 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 114533351553204 in words is "one hundred fourteen trillion, five hundred thirty-three billion, three hundred fifty-one million, five hundred fifty-three thousand, two hundred four".