46003966930064 has 640 divisors, whose sum is σ = 111695211048960. Its totient is φ = 18072701337600.

The previous prime is 46003966929953. The next prime is 46003966930091.

It is a happy number.

46003966930064 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46003966929991 and 46003966930009.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 104792635157 + ... + 104792635595.

It is an arithmetic number, because the mean of its divisors is an integer number (174523767264).

Almost surely, 2^{46003966930064} is an apocalyptic number.

46003966930064 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 46003966930064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55847605524480).

46003966930064 is an abundant number, since it is smaller than the sum of its proper divisors (65691244118896).

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

46003966930064 is a wasteful number, since it uses less digits than its factorization.

46003966930064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 56.

The spelling of 46003966930064 in words is "forty-six trillion, three billion, nine hundred sixty-six million, nine hundred thirty thousand, sixty-four".