126324651851776 has 217 divisors, whose sum is σ = 294757162936279. Its totient is φ = 54139136507904.

The previous prime is 126324651851753. The next prime is 126324651851869. The reversal of 126324651851776 is 677158156423621.

It is a happy number.

The square root of 126324651851776 is 11239424.

The cubic root of 126324651851776 is 50176.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

Its product of digits (101606400) is a multiple of the sum of its prime divisors (9).

It is an unprimeable number.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 18046378835965 + ... + 18046378835971.

Almost surely, 2^{126324651851776} is an apocalyptic number.

126324651851776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

126324651851776 is the 11239424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126324651851776

126324651851776 is an abundant number, since it is smaller than the sum of its proper divisors (168432511084503).

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

126324651851776 is an frugal number, since it uses more digits than its factorization.

126324651851776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 9 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 64.

126324651851776 divided by its sum of digits (64) gives a 6-th power (1973822685184 = 112⁶).

The spelling of 126324651851776 in words is "one hundred twenty-six trillion, three hundred twenty-four billion, six hundred fifty-one million, eight hundred fifty-one thousand, seven hundred seventy-six".