383526961152 has 272 divisors, whose sum is σ = 1052401564608. Its totient is φ = 124193341440.

The previous prime is 383526961093. The next prime is 383526961231. The reversal of 383526961152 is 251169625383.

It is a junction number, because it is equal to n+sod(n) for n = 383526961095 and 383526961104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1355218803 + ... + 1355219085.

Almost surely, 2^383526961152 is an apocalyptic number.

383526961152 is a gapful number since it is divisible by the number (32) 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 383526961152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526200782304).

383526961152 is an abundant number, since it is smaller than the sum of its proper divisors (668874603456).

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

383526961152 is an equidigital number, since it uses as much as digits as its factorization.

383526961152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 462 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The spelling of 383526961152 in words is "three hundred eighty-three billion, five hundred twenty-six million, nine hundred sixty-one thousand, one hundred fifty-two".