23283413029152 has 288 divisors, whose sum is σ = 70644405424320. Its totient is φ = 7252987484160.

The previous prime is 23283413029111. The next prime is 23283413029153. The reversal of 23283413029152 is 25192031438232.

23283413029152 is a `hidden beast` number, since 2 + 3 + 2 + 83 + 413 + 0 + 2 + 9 + 152 = 666.

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

It is a super-2 number, since 2×23283413029152² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23283413029098 and 23283413029107.

It is not an unprimeable number, because it can be changed into a prime (23283413029153) 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, 300171558 + ... + 300249114.

It is an arithmetic number, because the mean of its divisors is an integer number (245293074390).

Almost surely, 2^{23283413029152} 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 23283413029152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35322202712160).

23283413029152 is an abundant number, since it is smaller than the sum of its proper divisors (47360992395168).

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

23283413029152 is a wasteful number, since it uses less digits than its factorization.

23283413029152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78336 (or 78325 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 23283413029152 in words is "twenty-three trillion, two hundred eighty-three billion, four hundred thirteen million, twenty-nine thousand, one hundred fifty-two".