145337469984 has 432 divisors, whose sum is σ = 502159694400. Its totient is φ = 39706426368.

The previous prime is 145337469947. The next prime is 145337470027. The reversal of 145337469984 is 489964733541.

145337469984 is a `hidden beast` number, since 1 + 4 + 53 + 37 + 469 + 98 + 4 = 666.

It is a super-2 number, since 2×145337469984² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43787877 + ... + 43791195.

It is an arithmetic number, because the mean of its divisors is an integer number (1162406700).

Almost surely, 2^145337469984 is an apocalyptic number.

145337469984 is a gapful number since it is divisible by the number (14) 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 145337469984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251079847200).

145337469984 is an abundant number, since it is smaller than the sum of its proper divisors (356822224416).

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

145337469984 is a wasteful number, since it uses less digits than its factorization.

145337469984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3485 (or 3467 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 145337469984 in words is "one hundred forty-five billion, three hundred thirty-seven million, four hundred sixty-nine thousand, nine hundred eighty-four".