126314496000 has 1440 divisors, whose sum is σ = 574140752640. Its totient is φ = 25952256000.

The previous prime is 126314495987. The next prime is 126314496001. The reversal of 126314496000 is 694413621.

126314496000 is a `hidden beast` number, since 1 + 2 + 6 + 3 + 1 + 4 + 49 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (126314496001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1419263956 + ... + 1419264044.

It is an arithmetic number, because the mean of its divisors is an integer number (398708856).

Almost surely, 2^126314496000 is an apocalyptic number.

126314496000 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 126314496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287070376320).

126314496000 is an abundant number, since it is smaller than the sum of its proper divisors (447826256640).

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

126314496000 is an equidigital number, since it uses as much as digits as its factorization.

126314496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 126314496000 in words is "one hundred twenty-six billion, three hundred fourteen million, four hundred ninety-six thousand".