465872735655 has 160 divisors (see below), whose sum is σ = 866995937280. Its totient is φ = 239191315200.

The previous prime is 465872735641. The next prime is 465872735663. The reversal of 465872735655 is 556537278564.

465872735655 is a `hidden beast` number, since 4 + 65 + 8 + 7 + 2 + 7 + 3 + 565 + 5 = 666.

It is not a de Polignac number, because 465872735655 - 2⁵ = 465872735623 is a prime.

It is a super-3 number, since 3×465872735655³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 465872735592 and 465872735601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 313296322 + ... + 313297808.

It is an arithmetic number, because the mean of its divisors is an integer number (5418724608).

Almost surely, 2^465872735655 is an apocalyptic number.

465872735655 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

465872735655 is a deficient number, since it is larger than the sum of its proper divisors (401123201625).

465872735655 is a wasteful number, since it uses less digits than its factorization.

465872735655 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1802 counting only the distinct ones).

The product of its digits is 211680000, while the sum is 63.

The spelling of 465872735655 in words is "four hundred sixty-five billion, eight hundred seventy-two million, seven hundred thirty-five thousand, six hundred fifty-five".