469934215271136 has 1008 divisors, whose sum is σ = 1752608013643872. Its totient is φ = 121354398443520.

The previous prime is 469934215271123. The next prime is 469934215271153. The reversal of 469934215271136 is 631172512439964.

469934215271136 is a `hidden beast` number, since 4 + 6 + 9 + 9 + 3 + 421 + 5 + 2 + 71 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3418206430 + ... + 3418343906.

It is an arithmetic number, because the mean of its divisors is an integer number (1738698426234).

Almost surely, 2^{469934215271136} 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 469934215271136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876304006821936).

469934215271136 is an abundant number, since it is smaller than the sum of its proper divisors (1282673798372736).

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

469934215271136 is a wasteful number, since it uses less digits than its factorization.

469934215271136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137707 (or 137673 counting only the distinct ones).

The product of its digits is 58786560, while the sum is 63.

The spelling of 469934215271136 in words is "four hundred sixty-nine trillion, nine hundred thirty-four billion, two hundred fifteen million, two hundred seventy-one thousand, one hundred thirty-six".