46078342464 has 672 divisors, whose sum is σ = 163317399552. Its totient is φ = 11321856000.

The previous prime is 46078342463. The next prime is 46078342481. The reversal of 46078342464 is 46424387064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46078342463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170030649 + ... + 170030919.

Almost surely, 2^46078342464 is an apocalyptic number.

46078342464 is a gapful number since it is divisible by the number (44) 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 46078342464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81658699776).

46078342464 is an abundant number, since it is smaller than the sum of its proper divisors (117239057088).

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

46078342464 is a wasteful number, since it uses less digits than its factorization.

46078342464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 48.

The spelling of 46078342464 in words is "forty-six billion, seventy-eight million, three hundred forty-two thousand, four hundred sixty-four".