123537374464000 has 384 divisors, whose sum is σ = 355087923240960. Its totient is φ = 42022084608000.

The previous prime is 123537374463929. The next prime is 123537374464067. The reversal of 123537374464000 is 464473735321.

It is a happy number.

It is a super-2 number, since 2×123537374464000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227312590 + ... + 227855410.

It is an arithmetic number, because the mean of its divisors is an integer number (924708133440).

Almost surely, 2^{123537374464000} is an apocalyptic number.

123537374464000 is a gapful number since it is divisible by the number (10) 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 123537374464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177543961620480).

123537374464000 is an abundant number, since it is smaller than the sum of its proper divisors (231550548776960).

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

123537374464000 is an equidigital number, since it uses as much as digits as its factorization.

123537374464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542992 (or 542962 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 49.

The spelling of 123537374464000 in words is "one hundred twenty-three trillion, five hundred thirty-seven billion, three hundred seventy-four million, four hundred sixty-four thousand".