46752004103742 has 128 divisors (see below), whose sum is σ = 120716305812480. Its totient is φ = 13135537704960.

The previous prime is 46752004103741. The next prime is 46752004103771. The reversal of 46752004103742 is 24730140025764.

46752004103742 is a `hidden beast` number, since 4 + 6 + 75 + 200 + 4 + 1 + 0 + 374 + 2 = 666.

46752004103742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46752004103741) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13013442 + ... + 16212762.

It is an arithmetic number, because the mean of its divisors is an integer number (943096139160).

Almost surely, 2^{46752004103742} is an apocalyptic number.

46752004103742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 46752004103742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60358152906240).

46752004103742 is an abundant number, since it is smaller than the sum of its proper divisors (73964301708738).

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

46752004103742 is a wasteful number, since it uses less digits than its factorization.

46752004103742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199983 (or 3199977 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 46752004103742 in words is "forty-six trillion, seven hundred fifty-two billion, four million, one hundred three thousand, seven hundred forty-two".