815452323840 has 2448 divisors, whose sum is σ = 3916023995520. Its totient is φ = 160526499840.

The previous prime is 815452323839. The next prime is 815452323877. The reversal of 815452323840 is 48323254518.

815452323840 is a `hidden beast` number, since 8 + 1 + 54 + 523 + 2 + 38 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42918543351 + ... + 42918543369.

Almost surely, 2^815452323840 is an apocalyptic number.

815452323840 is a gapful number since it is divisible by the number (80) 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 815452323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958011997760).

815452323840 is an abundant number, since it is smaller than the sum of its proper divisors (3100571671680).

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

815452323840 is an equidigital number, since it uses as much as digits as its factorization.

815452323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 815452323840 in words is "eight hundred fifteen billion, four hundred fifty-two million, three hundred twenty-three thousand, eight hundred forty".