10523234671488 has 768 divisors, whose sum is σ = 38274342912000. Its totient is φ = 2695851970560.

The previous prime is 10523234671447. The next prime is 10523234671541. The reversal of 10523234671488 is 88417643232501.

10523234671488 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 32 + 3 + 467 + 148 + 8 = 666.

It is a super-2 number, since 2×10523234671488² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2268425073 + ... + 2268429711.

It is an arithmetic number, because the mean of its divisors is an integer number (49836384000).

Almost surely, 2^{10523234671488} is an apocalyptic number.

10523234671488 is a gapful number since it is divisible by the number (18) 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 10523234671488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19137171456000).

10523234671488 is an abundant number, since it is smaller than the sum of its proper divisors (27751108240512).

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

10523234671488 is a wasteful number, since it uses less digits than its factorization.

10523234671488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 10523234671488 in words is "ten trillion, five hundred twenty-three billion, two hundred thirty-four million, six hundred seventy-one thousand, four hundred eighty-eight".