145849896192 has 576 divisors, whose sum is σ = 524417273856. Its totient is φ = 34752430080.

The previous prime is 145849896187. The next prime is 145849896217. The reversal of 145849896192 is 291698948541.

It is a super-2 number, since 2×145849896192² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148371733 + ... + 148372715.

It is an arithmetic number, because the mean of its divisors is an integer number (910446656).

Almost surely, 2^145849896192 is an apocalyptic number.

145849896192 is a gapful number since it is divisible by the number (12) 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 145849896192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262208636928).

145849896192 is an abundant number, since it is smaller than the sum of its proper divisors (378567377664).

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

145849896192 is a wasteful number, since it uses less digits than its factorization.

145849896192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1212 counting only the distinct ones).

The product of its digits is 44789760, while the sum is 66.

The spelling of 145849896192 in words is "one hundred forty-five billion, eight hundred forty-nine million, eight hundred ninety-six thousand, one hundred ninety-two".