464033315655 has 192 divisors, whose sum is σ = 1002234804480. Its totient is φ = 193388249088.

The previous prime is 464033315611. The next prime is 464033315657. The reversal of 464033315655 is 556513330464.

464033315655 is a `hidden beast` number, since 46 + 40 + 3 + 3 + 3 + 1 + 565 + 5 = 666.

It is not a de Polignac number, because 464033315655 - 2¹² = 464033311559 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 464033315655.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464033315657) 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 191 ways as a sum of consecutive naturals, for example, 259380501 + ... + 259382289.

It is an arithmetic number, because the mean of its divisors is an integer number (5219972940).

Almost surely, 2^464033315655 is an apocalyptic number.

464033315655 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

464033315655 is an abundant number, since it is smaller than the sum of its proper divisors (538201488825).

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

464033315655 is a wasteful number, since it uses less digits than its factorization.

464033315655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 464033315655 in words is "four hundred sixty-four billion, thirty-three million, three hundred fifteen thousand, six hundred fifty-five".