35645485107456 has 405 divisors, whose sum is σ = 123662471214051. Its totient is φ = 10182704845824.

The previous prime is 35645485107439. The next prime is 35645485107457. The reversal of 35645485107456 is 65470158454653.

The square root of 35645485107456 is 5970384.

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

35645485107456 is a `hidden beast` number, since 3 + 5 + 6 + 4 + 5 + 48 + 510 + 74 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 35645485107393 and 35645485107402.

It is not an unprimeable number, because it can be changed into a prime (35645485107457) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6018144111 + ... + 6018150033.

Almost surely, 2^{35645485107456} is an apocalyptic number.

35645485107456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

35645485107456 is the 5970384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35645485107456

35645485107456 is an abundant number, since it is smaller than the sum of its proper divisors (88016986106595).

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

35645485107456 is an frugal number, since it uses more digits than its factorization.

35645485107456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11888 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 241920000, while the sum is 63.

The spelling of 35645485107456 in words is "thirty-five trillion, six hundred forty-five billion, four hundred eighty-five million, one hundred seven thousand, four hundred fifty-six".