1926456129000 has 512 divisors, whose sum is σ = 7281001728000. Its totient is φ = 474197587200.

The previous prime is 1926456128999. The next prime is 1926456129011. The reversal of 1926456129000 is 9216546291.

1926456129000 is a `hidden beast` number, since 1 + 9 + 2 + 64 + 561 + 29 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1926456129000² (a number of 25 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28397121 + ... + 28464879.

It is an arithmetic number, because the mean of its divisors is an integer number (14220706500).

Almost surely, 2^{1926456129000} is an apocalyptic number.

1926456129000 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 1926456129000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3640500864000).

1926456129000 is an abundant number, since it is smaller than the sum of its proper divisors (5354545599000).

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

1926456129000 is an equidigital number, since it uses as much as digits as its factorization.

1926456129000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67814 (or 67782 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1926456129000 in words is "one trillion, nine hundred twenty-six billion, four hundred fifty-six million, one hundred twenty-nine thousand".