2451434546106 has 160 divisors (see below), whose sum is σ = 6888213053568. Its totient is φ = 634333265280.

The previous prime is 2451434546101. The next prime is 2451434546117. The reversal of 2451434546106 is 6016454341542.

2451434546106 is a `hidden beast` number, since 2 + 4 + 5 + 143 + 45 + 461 + 0 + 6 = 666.

2451434546106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2451434546101) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 787440 + ... + 2350091.

Almost surely, 2^{2451434546106} is an apocalyptic number.

2451434546106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2451434546106 is an abundant number, since it is smaller than the sum of its proper divisors (4436778507462).

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

2451434546106 is a wasteful number, since it uses less digits than its factorization.

2451434546106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137618 (or 3137609 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 2451434546106 its reverse (6016454341542), we get a palindrome (8467888887648).

The spelling of 2451434546106 in words is "two trillion, four hundred fifty-one billion, four hundred thirty-four million, five hundred forty-six thousand, one hundred six".