87823999311456 has 192 divisors, whose sum is σ = 243577657516032. Its totient is φ = 27651081841152.

The previous prime is 87823999311437. The next prime is 87823999311493. The reversal of 87823999311456 is 65411399932878.

87823999311456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381623881 + ... + 381853943.

It is an arithmetic number, because the mean of its divisors is an integer number (1268633632896).

Almost surely, 2^{87823999311456} 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 87823999311456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121788828758016).

87823999311456 is an abundant number, since it is smaller than the sum of its proper divisors (155753658204576).

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

87823999311456 is a wasteful number, since it uses less digits than its factorization.

87823999311456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232265 (or 232257 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 75.

The spelling of 87823999311456 in words is "eighty-seven trillion, eight hundred twenty-three billion, nine hundred ninety-nine million, three hundred eleven thousand, four hundred fifty-six".