123313633740 has 360 divisors, whose sum is σ = 426469649760. Its totient is φ = 29805304320.

The previous prime is 123313633733. The next prime is 123313633747. The reversal of 123313633740 is 47336313321.

123313633740 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 13 + 633 + 7 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123313633733) and next prime (123313633747).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123313633695 and 123313633704.

It is not an unprimeable number, because it can be changed into a prime (123313633747) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 86052064 + ... + 86053496.

It is an arithmetic number, because the mean of its divisors is an integer number (1184637916).

Almost surely, 2^123313633740 is an apocalyptic number.

123313633740 is a gapful number since it is divisible by the number (10) 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 123313633740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213234824880).

123313633740 is an abundant number, since it is smaller than the sum of its proper divisors (303156016020).

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

123313633740 is a wasteful number, since it uses less digits than its factorization.

123313633740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The spelling of 123313633740 in words is "one hundred twenty-three billion, three hundred thirteen million, six hundred thirty-three thousand, seven hundred forty".