45777261737442 has 64 divisors (see below), whose sum is σ = 95849269899264. Its totient is φ = 14560096978560.

The previous prime is 45777261737357. The next prime is 45777261737477. The reversal of 45777261737442 is 24473716277754.

45777261737442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×45777261737442³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15362113 + ... + 18098315.

It is an arithmetic number, because the mean of its divisors is an integer number (1497644842176).

Almost surely, 2^{45777261737442} is an apocalyptic number.

45777261737442 is an abundant number, since it is smaller than the sum of its proper divisors (50072008161822).

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

45777261737442 is a wasteful number, since it uses less digits than its factorization.

45777261737442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737743.

The product of its digits is 387233280, while the sum is 66.

The spelling of 45777261737442 in words is "forty-five trillion, seven hundred seventy-seven billion, two hundred sixty-one million, seven hundred thirty-seven thousand, four hundred forty-two".