4155534652464 has 240 divisors, whose sum is σ = 13007996601600. Its totient is φ = 1276675561728.

The previous prime is 4155534652463. The next prime is 4155534652513. The reversal of 4155534652464 is 4642564355514.

4155534652464 is a `hidden beast` number, since 4 + 1 + 5 + 5 + 53 + 4 + 6 + 524 + 64 = 666.

It is a super-2 number, since 2×4155534652464² (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4155534652464.

It is not an unprimeable number, because it can be changed into a prime (4155534652463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33246117 + ... + 33370875.

It is an arithmetic number, because the mean of its divisors is an integer number (54199985840).

Almost surely, 2^{4155534652464} 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 4155534652464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6503998300800).

4155534652464 is an abundant number, since it is smaller than the sum of its proper divisors (8852461949136).

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

4155534652464 is a wasteful number, since it uses less digits than its factorization.

4155534652464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125454 (or 125436 counting only the distinct ones).

The product of its digits is 34560000, while the sum is 54.

The spelling of 4155534652464 in words is "four trillion, one hundred fifty-five billion, five hundred thirty-four million, six hundred fifty-two thousand, four hundred sixty-four".