123947366400 has 2160 divisors, whose sum is σ = 572019247800. Its totient is φ = 26276659200.

The previous prime is 123947366369. The next prime is 123947366407. The reversal of 123947366400 is 4663749321.

123947366400 is a `hidden beast` number, since 1 + 239 + 4 + 7 + 3 + 6 + 6 + 400 = 666.

123947366400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123947366407) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 6523545591 + ... + 6523545609.

Almost surely, 2^123947366400 is an apocalyptic number.

123947366400 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 123947366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286009623900).

123947366400 is an abundant number, since it is smaller than the sum of its proper divisors (448071881400).

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

123947366400 is a wasteful number, since it uses less digits than its factorization.

123947366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 123947366400 in words is "one hundred twenty-three billion, nine hundred forty-seven million, three hundred sixty-six thousand, four hundred".