118620851342400 has 1701 divisors, whose sum is σ = 478427440619583. Its totient is φ = 27853897420800.

The previous prime is 118620851342297. The next prime is 118620851342407. The reversal of 118620851342400 is 4243158026811.

The square root of 118620851342400 is 10891320.

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

118620851342400 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 208 + 5 + 1 + 34 + 2 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11260749335616 + 107360102006784 = 3355704^2 + 10361472^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (118620851342407) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 531932068689 + ... + 531932068911.

Almost surely, 2^{118620851342400} is an apocalyptic number.

118620851342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

118620851342400 is the 10891320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118620851342400

118620851342400 is an abundant number, since it is smaller than the sum of its proper divisors (359806589277183).

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

118620851342400 is a wasteful number, since it uses less digits than its factorization.

118620851342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 118620851342400 in words is "one hundred eighteen trillion, six hundred twenty billion, eight hundred fifty-one million, three hundred forty-two thousand, four hundred".