46910167040 has 384 divisors, whose sum is σ = 135013132800. Its totient is φ = 15441592320.

The previous prime is 46910167033. The next prime is 46910167099. The reversal of 46910167040 is 4076101964.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 46910166985 and 46910167003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49223204 + ... + 49224156.

It is an arithmetic number, because the mean of its divisors is an integer number (351596700).

Almost surely, 2^46910167040 is an apocalyptic number.

46910167040 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 46910167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67506566400).

46910167040 is an abundant number, since it is smaller than the sum of its proper divisors (88102965760).

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

46910167040 is a wasteful number, since it uses less digits than its factorization.

46910167040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 46910167040 in words is "forty-six billion, nine hundred ten million, one hundred sixty-seven thousand, forty".