126614016000 has 1040 divisors, whose sum is σ = 489814985088. Its totient is φ = 32514048000.

The previous prime is 126614015953. The next prime is 126614016013. The reversal of 126614016000 is 610416621.

126614016000 is a `hidden beast` number, since 12 + 6 + 6 + 1 + 40 + 1 + 600 + 0 = 666.

It is a super-2 number, since 2×126614016000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1783295965 + ... + 1783296035.

Almost surely, 2^126614016000 is an apocalyptic number.

126614016000 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 126614016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244907492544).

126614016000 is an abundant number, since it is smaller than the sum of its proper divisors (363200969088).

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

126614016000 is an frugal number, since it uses more digits than its factorization.

126614016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 126614016000 in words is "one hundred twenty-six billion, six hundred fourteen million, sixteen thousand".