534330922662144 has 288 divisors, whose sum is σ = 1677272618730240. Its totient is φ = 167210966089728.

The previous prime is 534330922662143. The next prime is 534330922662149. The reversal of 534330922662144 is 441266229033435.

534330922662144 is a `hidden beast` number, since 5 + 3 + 4 + 3 + 3 + 0 + 9 + 2 + 2 + 6 + 621 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×534330922662144² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (534330922662143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40921957 + ... + 52376219.

It is an arithmetic number, because the mean of its divisors is an integer number (5823863259480).

Almost surely, 2^{534330922662144} is an apocalyptic number.

534330922662144 is a gapful number since it is divisible by the number (54) 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 534330922662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838636309365120).

534330922662144 is an abundant number, since it is smaller than the sum of its proper divisors (1142941696068096).

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

534330922662144 is a wasteful number, since it uses less digits than its factorization.

534330922662144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11454702 (or 11454682 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 534330922662144 in words is "five hundred thirty-four trillion, three hundred thirty billion, nine hundred twenty-two million, six hundred sixty-two thousand, one hundred forty-four".