38313661464 has 288 divisors, whose sum is σ = 124159819680. Its totient is φ = 10611634176.

The previous prime is 38313661459. The next prime is 38313661553. The reversal of 38313661464 is 46416631383.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4753662 + ... + 4761714.

It is an arithmetic number, because the mean of its divisors is an integer number (431110485).

Almost surely, 2^38313661464 is an apocalyptic number.

38313661464 is a gapful number since it is divisible by the number (34) 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 38313661464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62079909840).

38313661464 is an abundant number, since it is smaller than the sum of its proper divisors (85846158216).

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

38313661464 is a wasteful number, since it uses less digits than its factorization.

38313661464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8131 (or 8111 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 38313661464 in words is "thirty-eight billion, three hundred thirteen million, six hundred sixty-one thousand, four hundred sixty-four".