20151334944 has 288 divisors, whose sum is σ = 65763472320. Its totient is φ = 5801601024.

The previous prime is 20151334943. The next prime is 20151334981. The reversal of 20151334944 is 44943315102.

20151334944 is a `hidden beast` number, since 20 + 1 + 513 + 34 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 20151334899 and 20151334908.

It is not an unprimeable number, because it can be changed into a prime (20151334943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5902582 + ... + 5905994.

It is an arithmetic number, because the mean of its divisors is an integer number (228345390).

Almost surely, 2^20151334944 is an apocalyptic number.

20151334944 is a gapful number since it is divisible by the number (24) 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 20151334944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32881736160).

20151334944 is an abundant number, since it is smaller than the sum of its proper divisors (45612137376).

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

20151334944 is a wasteful number, since it uses less digits than its factorization.

20151334944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20151334944 in words is "twenty billion, one hundred fifty-one million, three hundred thirty-four thousand, nine hundred forty-four".