4331764749312 has 3696 divisors, whose sum is σ = 19196857967616. Its totient is φ = 945959731200.

The previous prime is 4331764749269. The next prime is 4331764749313. The reversal of 4331764749312 is 2139474671334.

4331764749312 is a `hidden beast` number, since 4 + 3 + 3 + 1 + 76 + 474 + 93 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

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

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

Its product of digits (9144576) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331764749313) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 139734346737 + ... + 139734346767.

Almost surely, 2^{4331764749312} is an apocalyptic number.

4331764749312 is a gapful number since it is divisible by the number (42) 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 4331764749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9598428983808).

4331764749312 is an abundant number, since it is smaller than the sum of its proper divisors (14865093218304).

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

4331764749312 is a wasteful number, since it uses less digits than its factorization.

4331764749312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 84 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 4331764749312 in words is "four trillion, three hundred thirty-one billion, seven hundred sixty-four million, seven hundred forty-nine thousand, three hundred twelve".