123891791400 has 1152 divisors, whose sum is σ = 497218176000. Its totient is φ = 27371520000.

The previous prime is 123891791347. The next prime is 123891791447. The reversal of 123891791400 is 4197198321.

123891791400 is a `hidden beast` number, since 1 + 238 + 9 + 1 + 7 + 9 + 1 + 400 = 666.

It is a super-2 number, since 2×123891791400² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1226651350 + ... + 1226651450.

It is an arithmetic number, because the mean of its divisors is an integer number (431613000).

Almost surely, 2^123891791400 is an apocalyptic number.

123891791400 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 123891791400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248609088000).

123891791400 is an abundant number, since it is smaller than the sum of its proper divisors (373326384600).

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

123891791400 is a wasteful number, since it uses less digits than its factorization.

123891791400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 123891791400 in words is "one hundred twenty-three billion, eight hundred ninety-one million, seven hundred ninety-one thousand, four hundred".