4162151664 has 120 divisors (see below), whose sum is σ = 12745278000. Its totient is φ = 1257477120.

The previous prime is 4162151657. The next prime is 4162151681. The reversal of 4162151664 is 4661512614.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549052 + ... + 556580.

It is an arithmetic number, because the mean of its divisors is an integer number (106210650).

Almost surely, 2^4162151664 is an apocalyptic number.

4162151664 is a gapful number since it is divisible by the number (44) 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 4162151664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6372639000).

4162151664 is an abundant number, since it is smaller than the sum of its proper divisors (8583126336).

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

4162151664 is a wasteful number, since it uses less digits than its factorization.

4162151664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7903 (or 7894 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 4162151664 is about 64514.7398971739. The cubic root of 4162151664 is about 1608.5675393248.

The spelling of 4162151664 in words is "four billion, one hundred sixty-two million, one hundred fifty-one thousand, six hundred sixty-four".