34618542393456 has 240 divisors, whose sum is σ = 117104377578240. Its totient is φ = 9326021806080.

The previous prime is 34618542393451. The next prime is 34618542393481. The reversal of 34618542393456 is 65439324581643.

34618542393456 is a `hidden beast` number, since 3 + 4 + 6 + 1 + 8 + 54 + 239 + 345 + 6 = 666.

It is a super-2 number, since 2×34618542393456² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 34618542393393 and 34618542393402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34618542393451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242265 + ... + 8324408.

It is an arithmetic number, because the mean of its divisors is an integer number (487934906576).

Almost surely, 2^{34618542393456} is an apocalyptic number.

34618542393456 is a gapful number since it is divisible by the number (36) 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 34618542393456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58552188789120).

34618542393456 is an abundant number, since it is smaller than the sum of its proper divisors (82485835184784).

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

34618542393456 is a wasteful number, since it uses less digits than its factorization.

34618542393456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8566924 (or 8566915 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 63.

The spelling of 34618542393456 in words is "thirty-four trillion, six hundred eighteen billion, five hundred forty-two million, three hundred ninety-three thousand, four hundred fifty-six".