109747233123840 has 3200 divisors, whose sum is σ = 458526772408320. Its totient is φ = 24849502175232.

The previous prime is 109747233123839. The next prime is 109747233123911. The reversal of 109747233123840 is 48321332747901.

109747233123840 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 4 + 72 + 331 + 238 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 634377069994 + ... + 634377070166.

Almost surely, 2^{109747233123840} is an apocalyptic number.

109747233123840 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 109747233123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229263386204160).

109747233123840 is an abundant number, since it is smaller than the sum of its proper divisors (348779539284480).

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

109747233123840 is a wasteful number, since it uses less digits than its factorization.

109747233123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 109747233123840 in words is "one hundred nine trillion, seven hundred forty-seven billion, two hundred thirty-three million, one hundred twenty-three thousand, eight hundred forty".