1456129946700 has 432 divisors, whose sum is σ = 5371126496736. Its totient is φ = 325298073600.

The previous prime is 1456129946681. The next prime is 1456129946701. The reversal of 1456129946700 is 76499216541.

1456129946700 is a `hidden beast` number, since 1 + 4 + 56 + 129 + 9 + 467 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1456129946701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78883872 + ... + 78902328.

Almost surely, 2^{1456129946700} is an apocalyptic number.

1456129946700 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 1456129946700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685563248368).

1456129946700 is an abundant number, since it is smaller than the sum of its proper divisors (3914996550036).

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

1456129946700 is a wasteful number, since it uses less digits than its factorization.

1456129946700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19114 (or 19104 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1456129946700 in words is "one trillion, four hundred fifty-six billion, one hundred twenty-nine million, nine hundred forty-six thousand, seven hundred".