123495542016 has 1152 divisors, whose sum is σ = 466228224000. Its totient is φ = 28612362240.

The previous prime is 123495542003. The next prime is 123495542029. The reversal of 123495542016 is 610245594321.

It is an interprime number because it is at equal distance from previous prime (123495542003) and next prime (123495542029).

It is a super-2 number, since 2×123495542016² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1132986570 + ... + 1132986678.

It is an arithmetic number, because the mean of its divisors is an integer number (404712000).

Almost surely, 2^123495542016 is an apocalyptic number.

123495542016 is a gapful number since it is divisible by the number (16) 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 123495542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233114112000).

123495542016 is an abundant number, since it is smaller than the sum of its proper divisors (342732681984).

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

123495542016 is a wasteful number, since it uses less digits than its factorization.

123495542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 123495542016 in words is "one hundred twenty-three billion, four hundred ninety-five million, five hundred forty-two thousand, sixteen".