1382834883600 has 675 divisors, whose sum is σ = 5107465829037. Its totient is φ = 358313621760.

The previous prime is 1382834883589. The next prime is 1382834883613. The reversal of 1382834883600 is 63884382831.

The square root of 1382834883600 is 1175940.

It is a perfect power (a square), and thus also a powerful number.

1382834883600 is a `hidden beast` number, since 1 + 3 + 8 + 28 + 3 + 4 + 8 + 8 + 3 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 497820558096 + 885014325504 = 705564^2 + 940752^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9948452331 + ... + 9948452469.

Almost surely, 2^{1382834883600} is an apocalyptic number.

1382834883600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1382834883600 is the 1175940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382834883600

1382834883600 is an abundant number, since it is smaller than the sum of its proper divisors (3724630945437).

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

1382834883600 is an equidigital number, since it uses as much as digits as its factorization.

1382834883600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 1382834883600 in words is "one trillion, three hundred eighty-two billion, eight hundred thirty-four million, eight hundred eighty-three thousand, six hundred".