46078814520 has 256 divisors, whose sum is σ = 156016627200. Its totient is φ = 12095170560.

The previous prime is 46078814513. The next prime is 46078814539. The reversal of 46078814520 is 2541887064.

46078814520 is a `hidden beast` number, since 4 + 607 + 8 + 8 + 14 + 5 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29670064 + ... + 29671616.

It is an arithmetic number, because the mean of its divisors is an integer number (609439950).

Almost surely, 2^46078814520 is an apocalyptic number.

46078814520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46078814520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78008313600).

46078814520 is an abundant number, since it is smaller than the sum of its proper divisors (109937812680).

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

46078814520 is a wasteful number, since it uses less digits than its factorization.

46078814520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 46078814520 in words is "forty-six billion, seventy-eight million, eight hundred fourteen thousand, five hundred twenty".