79629452046 has 96 divisors (see below), whose sum is σ = 183660048000. Its totient is φ = 24890773824.

The previous prime is 79629452041. The next prime is 79629452051. The reversal of 79629452046 is 64025492697.

79629452046 is a `hidden beast` number, since 7 + 9 + 629 + 4 + 5 + 2 + 0 + 4 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (79629452041) and next prime (79629452051).

It is a super-2 number, since 2×79629452046² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 79629451983 and 79629452001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79629452041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4007925 + ... + 4027743.

It is an arithmetic number, because the mean of its divisors is an integer number (1913125500).

Almost surely, 2^79629452046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79629452046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91830024000).

79629452046 is an abundant number, since it is smaller than the sum of its proper divisors (104030595954).

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

79629452046 is a wasteful number, since it uses less digits than its factorization.

79629452046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20078 (or 20075 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 79629452046 in words is "seventy-nine billion, six hundred twenty-nine million, four hundred fifty-two thousand, forty-six".