46949733794964 has 288 divisors, whose sum is σ = 148262678437888. Its totient is φ = 11252038406400.

The previous prime is 46949733794927. The next prime is 46949733794983.

46949733794964 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46949733794964² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325897629 + ... + 326041659.

Almost surely, 2^{46949733794964} is an apocalyptic number.

46949733794964 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 46949733794964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74131339218944).

46949733794964 is an abundant number, since it is smaller than the sum of its proper divisors (101312944642924).

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

46949733794964 is a wasteful number, since it uses less digits than its factorization.

46949733794964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146547 (or 146534 counting only the distinct ones).

The product of its digits is 26665583616, while the sum is 84.

The spelling of 46949733794964 in words is "forty-six trillion, nine hundred forty-nine billion, seven hundred thirty-three million, seven hundred ninety-four thousand, nine hundred sixty-four".